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

Answer:

The required expression is 0.05m+7.25.

Step-by-step 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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of required line is

$y-7.55=\frac{7.85-7.55}{12-6}(x-6)$

$y-7.55=\frac{0.3}{6}(x-6)$

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

$y-7.55=0.05x-0.3$

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.