Question

Functions and Relations. Please help! A, B, C or D? Thanks!!!!!

Answer 1

Given:

The function is:

`b(x)=\begin{cases}0.15x,.........................\text{ }x\leq360 \\ 0.10(x-360)+54,\text{ ......}x>360\end{cases}`

Find-:

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

Explanation-:

Uses of 560 KWh in a month

`x=560`

For x = 560 function apply is:

`b(x)=0.10(x-360)+54.................x>360`

When x is greater than 360 so function b(x) second use.

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

Function value at x = 560 is:

`\begin{gathered} 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 \end{gathered}`

The value at 560 KWh value is $74.