Question

The cost of renting a sailboat at a lake is $20 per hour plus $12 for lofejackets. Write an equation in slope-intercept form that can be used to calculate the total amount you would pay for using this sailboat.

Answer 1

Slope intercept form is y=mx+b, where x is the x-intercept, m is the slope, and b shifts the entire line up or down the graph.

$20 per hour would be the slope, where m is 20 and x is "hour"

y = 20x + b

b is the $12 for life jackets, as it's an added cost.

y = 20x + 12

To calculate your total cost (y), you'll put the number of hours (x) that the boat is rented into the equation, and solve for y.

So, the slope-intercept form to find the total cost is

y = 20x + 12