So the distance of a aircraft flies a proportional relationship whith its number of hours inflight. The table shows the number of miles flown for a number of hours in flight. Find the constant of proportionality. How long will the jet take to travel 5,880.
Answers
Answer:
The constant of proportionality is 490
The jet will take 12 hours to travel 5,880 miles
Step-by-step explanation: The miles multiply by 490 each time.
490 x 12 is 5,880
The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles
The time required is 12 hours
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance of the aircraft be = x
Let the total time taken by the aircraft be = y
Let the constant of proportionality be k
when x = 1 ,
y = 490
So , the equation will be y = kx
Substituting the values in the equation , we get
y = 490x
when x = 2
y = 490 ( 2 )
y = 980
Now , the time taken by aircraft to travel 5,880 miles is
Substitute the value of y as 5880 in the equation , we get
5880 = 490x
Divide by 490 on both sides of the equation , we get
x = 5880 / 490
x = 12
Therefore , the time taken is 12 hours
Hence , the constant of proportionality is 490
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