Question

Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employment. Write an algebraic expression that describes how much Bailey’s employer pays part-time workers.

Answer 1

They get paid based off this equation where m is the months that they have worked there and p is how much they get paid
7.25 + 0.05m = p

Answer 2

The required expression is 0.05m+7.25.

Explanation:

From the given table it is clear that the line graph of Bailey’s employer pays part-time workers is passes through the points (6,7.55) and (12,7.85).

If a line passes through two points, then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The equation of required line is

`y-7.55=(7.85-7.55)/(12-6)(x-6)`

`y-7.55=(0.3)/(6)(x-6)`

`y-7.55=0.05(x-6)`

`y-7.55=0.05x-0.3`

Add 7.55 on both the sides.

`y-7.55+7.55=0.05x-0.3+7.55`

`y=0.05x+7.25`

The required equation of line is

`h=0.05m+7.25`

Where, m is length of employment in months and h is hourly wages in dollar per hour.

Therefore the required expression is 0.05m+7.25.