What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
Answers
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope. it is expressed as ratio of y change / x change when going from one point to another.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b.
we see costs is on the y axis, and miles is on the x axis.
so what points do we identify on the chart for the green taxi ?
there is right on the y-axis (0, 5). which is already our y-intercept.
and then let's pick e.g. the point where both lines intercept : (3, 8).
for the slope we look at the coordinate changes :
x changes by +3 (from 0 to 3).
y changes by +3 (from 5 to 8).
so, the slope is 3/3 = 1.
and again, the y- intercept is +5.
therefore, the line equation is
y = x + 5
meaning the cost of a fare is the number of miles plus 5.
Related Questions
Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.
Answers
The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.
a. To determine the distance of sailboat A from the stating point.
Applying the cosine rule to the path traveled by sailboat A, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)
= 25 + 64 -80 * -0.8746
[tex]c^{2}[/tex] = 89 + 70
[tex]c^{2}[/tex] = 159
c = [tex]\sqrt{159}[/tex]
= 12.6095
Thus, the distance of sailboat A from starting point is 12.61 miles.
b. To determine the distance of sailboat B from the stating point.
Applying the cosine rule to the path traveled by sailboat B, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)
= 64 + 25 -80 * -0.6293
[tex]c^{2}[/tex] = 89 + 50.344
= 139.344
c = [tex]\sqrt{139.344}[/tex]
= 11.8044
c = 11.80 miles
Thus, the distance of sailboat B from starting point is 11.80 miles.
Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.
A sketch is attached to this answer for better reasoning.
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SOMEONE PLEASE HELP‼️‼️‼️ ILL MARK BRAINLYEST PLEASE ‼️‼️
The length of the midsegment is _____ of the length of the base of the triangle.
A. 1/3
B. 1/4
C. 1/5
D. 1/2
Answers
Answer: 1/2
Step-by-step explanation:
No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!
What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answers
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n
Please answer without a link.
Answers
Answer:
D) 15/4+5.4
Step-by-step explanation:
The triangle below models a section of the supports you might see in a construction crane.
a. What is the sum of the angle measures of the triangle? Show your work.
1. Alt interior = 60
2. angle A + angle B + 2 =180
3. x supplemental
4. Alt interior = 90
5. Supplimentary = 90
(A is already solved)
b. Check your answer to problem 3a. Show your work.
(Please answer b)
Answers
Exactly what was your answer for a
Twenty-nine lots of p=
Answers
Answer:
29p
Step-by-step explanation:
pretty simple
Answer:
29p
Step-by-step explanation:
you
take
p
multiply
by
29
and
the
answer
is
29p
A temperature of -3°F is how many degrees below the freezing
temperature of water?
Answers
Answer:
Step-by-step explanation:
6
Line segment XZ is congruent to line segment XZ because of the:
Answers
Answer:
They are both the same line
Step-by-step explanation:
The length of a rectangular room is 20 times longer than the width . If the perimeter is 588, what are the dimensions of the room
Answers
Answer:
im a teacher sorry not giving answer only hint
explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
thank you
Complete the blanks in the materials list to find the total cost of the plumbing fixtures. The quantity of needed items is listed you have to figure the total cost of the materials for the job.
Answers
Answer:
$3,466.12 Hope this helped.
Bathtub total: $875.90
Sump pump total: $205.31
Water pump total: $375.10
Water heater total: $464.00
Water softener total: $429.99
Lavatory total: $694.02
Toilet total: $259.77
Laundry tubs total: $137.43
Total without tax: 3727.04
Tax: 260.89
Total with tax: 3987.93
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
Answers
Answer:
9 mmStep-by-step explanation:
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
----
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
We use the inverse formula
base = 2A : height
2 * 27 : 6 = 9
------------------------
check
6 * 9 : 2 = 27
the answer is good
If Marlene can type 157 words per minute how many words can she type in 25 minute
Answers
Answer:
3925
Step-by-step explanation:
25x
25*157
Is y= - 4x + 1 proportional
Answers
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Hope this helps :)
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Step-by-step explanation:
Yw
a woman is 16 weeks pregnant with her first baby. she asks how long it will be before she feels the baby move
Answers
It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months
What is the area of this tile?
Answers
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
TJ wants to sell his antique 1966 Mustang. He begins to set his price by looking at ads and finds these prices: $12,000, $9,500, $7,500, $14,000, and $12,000. What is the mean, median, mode, and range price?
Answers
Answer:
Range: 6,500
The difference between the largest and the smallest number.
Mode: 12,000
The number that appears most.
Mean: 11,000
Because its the average of all numbers
Median: 9,500
The middle number
A board is 80 inches long. How long is it in feet and inches? please help ;-;
Answers
Answer:
6 feet and 8 inches
Step-by-step explanation:
1 foot = 12 inches
Answer: 6ft & 8 inches
Step-by-step explanation: 12 inches = 1 feet
2 feet = 24
3 feet = 36
4 feet = 36
5 feet = 60
6 feet = 72
80 - 72 = 8
6ft & 8 inches
I am stuck on a geometry lesson. It is on the Angle Sum Theorem. It said we have an obtuse trisngle with angles 1, 2, and 3. Then they extend the line out as a dashed line top and bottom parallel to each other. It then he says we have angle 1 value would also be true on the opposite side of the triangle like as a transeversal intersected 2 parallel lines making those angles alternate interior angles. He does the sme with 2. then says 1 plus 2 plus 3 equal 180 and says it twice. What does that mean?
Answers
find the sum
(2x+6)+(4x-12)
HELp
Answers
Answer:
6x - 6
Step-by-step explanation:
(2x + 6) + (4x - 12) ← remove parenthesis
= 2x + 6 + 4x - 12 ← collect like terms
= (2x + 4x) + (6 - 12)
= 6x + (- 6)
= 6x - 6
Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need
Answers
Answer:
she will have 3/4 cups left over
Step-by-step explanation:
1 1/2 times 12 is 18
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Pls help i will give brainliest!
Answers
Explanation: I just know so…
what is point W( 7, -4) reflected over the x-axis
Answers
Answer:
(7, 4)
Step-by-step explanation:
In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same: 7. But the -4 becomes +4 through this reflection.
Reflected point is (7, 4)
Katy kept a tally of the number of emails she received each day for a week.
Monday 10
Tuesday 0
Wednesday 10
Thursday 1
Friday 0
according to the table,what was the rate of changing between Wednesday and Thursday?
Answers
Answer:
9
Step-by-step explanation:
Can someone help me Expand 3(z+2)
Answers
Answer: 3z+6
Step-by-step explanation:
(3) (z+2)
(3) (z)+(3) (2)
3z+6
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?
Answers
Answer:
7 and 1 / 2
Step-by-step explanation:
xy = 9
( 1 / x ) = 4 ( 1 / y )
y = 4x
x ( 4x ) = 9
4x^2 = 9
x = 3 / 2
( 3 / 2 ) y = 9
y = 6
6 + ( 3 / 2 ) = 7 and 1 / 2
The two numbers are 3/2 and 6.
What are reciprocal numbers?The reciprocal of a number is this fraction flipped upside down.
Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.
Let the numbers be a and b.
ab = 9.......(i)
1/a = 4/b
a = 4b..........(ii)
Using (i) in (ii)
4b×b = 9
b² = 9/4
b = 3/2
a×3/2 = 9
a = 6
Hence, The two numbers are 3/2 and 6.
For more references on reciprocal numbers, click;
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Find the values of x and y, and z
Answers
Answer:
z = 15
y = 8
x = 7
Step-by-step explanation:
All of the angles added together equal 180.
4z + 4z + 4z = 180
z = 15
3y - 1 = 23 ( all sides equal each other because all angles equal each other )
y = 8
2x + 9 = 23 ( similar to how I found y )
x = 7
I hope this helps!!
8) What are the measures of angles x, y, and z?
Answers
Step-by-step explanation:
y=55°(corresponding angles are equal)
x=55°(alternate angles are equal).
z+55°=180°
=180-55=z
z=125°
Answer:
x = y = z = 55°
Step-by-step explanation:
x = 55° (vertical angles)
y = 55° (corresponding angles)
z = 55° (corresponding with x -> z = x)
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 mL water
Answers
Answer:
7.5 g salt
10g yeast
50 ML oil
450 ML water
Step-by-step explanation:
You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)
Write an equation in slope-intercept form of the line please help me
Answers
Answer:
The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.
it is equal to (y - 4) = m(x - 0)
and now we look for the slope
m = y2 - y1/ x2 - x1
which can be directly substituted according to every line connecting each x value to a certain y value.
Darryl can travel to the store on his skateboard three times faster than he can return carrying his package and skateboard. If the total trip takes 30 minutes, how many minutes does it take him to return from the store?
Answers
48Step-by-step explanation:
40 = 48 quarts