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.

 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.

Step-by-step 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.

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.

Step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: