A power company calculates a person's monthly bill from the number of

kilowatt-hours (kWh), x, used.

The function b(z) = {

0.152,

0.10 (x - 360) + 54, > 360

<< 360

determines

the bill.

How much is the bill for a person who uses 560 kWh in a month?

Answers

Answer 1

Answer:

0.152

Explanation:

Answer 2

The given function is:

b(x) = {0.152x, x ≤ 360

{0.10(x - 360) + 54, x > 360

What does the given problem involve at ?

The given problem involves a function b(x) that calculates a person's monthly bill from the number of kilowatt-hours (kWh) used. The function has two parts: one for the first 360 kWh and another for any additional kWh used.

For the first 360 kWh, the bill is a flat rate of $0.152 per kWh, which means the cost is 0.152 × 360 = $54.72.

For any additional kWh used beyond the first 360, the cost is $0.10 per kWh. So for the remaining 200 kWh used (560 - 360), the cost is 0.10 × 200 = $20.

Therefore, the total bill for a person who uses 560 kWh in a month is the sum of the two costs: $54.72 + $20 = $74.72.

We need to find the bill for a person who uses 560 kWh in a month.

Since 560 is greater than 360, we will use the second part of the function.

b(x) = 0.10(x - 360) + 54

b(560) = 0.10(560 - 360) + 54

b(560) = 0.10(200) + 54

b(560) = 20 + 54

b(560) = 74

Therefore, the bill for a person who uses 560 kWh in a month is $74.

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