Question

Suppose Zoe worked overtime at her job during a recent pay period, which is considered beyond 40 hours. Let the function P(t)=36t+960 represent the gross pay in dollars for Zoe as a function of the number of overtime hours worked, t. What do the slope and y-intercept of P(t) represent in this situation? Select the two correct answers.

The slope represents Zoe earning $36 for each hour worked in the first 40 hours of the pay period.

The y-intercept represents Zoe has a gross pay of $36 when she works 0 hours for the pay period.

The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.

The slope represents Zoe earning $36 for each hour of overtime.

The y-intercept represents Zoe has $960 of gross pay when she works a total of exactly 40 hours for the pay period.

Answer 1

The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.

The slope represents Zoe earning $36 for each hour of overtime.

Explanation:

Answer 2

Answer: The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.

The slope represents Zoe earning $36 for each hour of overtime.

Explanation:

Given: The function P(t)=36t+960 represent the gross pay in dollars for Zoe as a function of the number of overtime hours worked, t.

For y-intercept , put t= 0 , we get

P(0)=0+960=960

As per situation, The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.

Slope is the scaler multiple of independent variablein linear equation[like m in y=mx+c] which is t here .

So, slope = 36

And The slope represents Zoe earning $36 for each hour of overtime.