Question

Question 1 of 10

An electric company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = { 0.15(2-200) +20, 200
x <
x>
bill.
determines the
How much is the bill for a person who uses 600 kWh in a month?

Answer 1

The bill for a person who uses 600 kWh in a month is $110.

Answer 2

An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used. The bill for a person who uses 600 kWh in a month is $80.

To calculate the bill for a person who uses 600 kWh in a month, we need to evaluate the function b(x) for x=600. However, we need to consider the two different cases outlined in the piecewise function:

If
`x \leq 200`, then the function is
`b(x)=0.10 x`.

If
`x > 200`, then the function is
`b(x)=0.15(x-200)+20`

For x=600, the second case applies because 600 > 200. Therefore, we use the second part of the function:

`b(600)=0.15(600-200)+20`

Now, calculate the value:

`\begin{aligned}& b(600)=0.15(400)+20 \\& b(600)=60+20 \\& b(600)=80\end{aligned}`

So, the bill for a person who uses 600 kWh in a month is $80.