Question

Writing an Equation from a Word Problem
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons.

Write a linear equation that represents the total cost of surf lessons after a certain number of hours.

1.y-intercept = (0, 12), point = (x, y)

2.m = 8

3. 8 =
y − 12
x − 0
→ 8 =
y − 12
x

4.Solve for y:

Answer 1

From 8 = (y − 12)/x, multiply both sides by x: 8x = y − 12.
Add 12 to both sides: y = 8x + 12.

So the total cost y (in dollars) after x hours is y = 8x + 12.