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A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used.The function 𝑏(𝑥)={0.15𝑥,𝑥≤2000.10(𝑥−200)+30,𝑥>200b(x)={ 0.15x,x≤2000.10(x−200)+30,x>200​ determines the bill.How much is the bill for a person who uses 300 kWh in a month?A.$55B.$40C.$60D.$45

Question

A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used.The function 𝑏(𝑥)={0.15𝑥,𝑥≤2000.10(𝑥−200)+30,𝑥>200b(x)={ 0.15x,x≤2000.10(x−200)+30,x>200​ determines the bill.How much is the bill for a person who uses 300 kWh in a month?A.55B.55B.40C.60D.60D.45

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Solution

To solve this problem, we need to substitute the given number of kilowatt-hours (300 kWh) into the function b(x).

The function is defined as:

b(x) = 0.15x for x ≤ 2000 b(x) = 0.10(x - 200) + 30 for x > 200

Since 300 kWh is less than 2000, we use the first part of the function:

b(300) = 0.15 * 300 = 45

So, the bill for a person who uses 300 kWh in a month is 45.Therefore,thecorrectanswerisD.45. Therefore, the correct answer is D. 45.

This problem has been solved

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