Acompany charges $31 for 8 hours and $23.50 for 3 hours. for how many hours will the company charge $25.75?

4.5 hours

Step-by-step explanation:

Assume the relation between points is a linear relation.

Use the given information as points in a linear equation.

Find the equation of the line; then find x when y = 25.75.

Find the equation of the line that passes through points (3, 23.5) and (8, 31).

y = mx + b

m = (y2 - y1)/(x2 - x1) = (31 - 23.5)/(8 - 3) = 7.5/5 = 1.5

y = 1.5x + b

Use point (8, 31) as x and y, and solve for b.

31 = 1.5(8) + b

31 = 12 + b

b = 19

The equation is

y = 1.5x + 19

Now let y = 25.75, and solve for x.

y = 1.5x + 19

25.75 = 1.5x + 19

6.75 = 1.5x

x = 4.5

4.5 hours

2 5/8 is the final answer! : )