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Your Turn

50. TRAVEL A rental company charges $75 per hour for a jet ski plus a $5 fee for a life jacket.
a. Write an equation in slope-intercept form for the total rental cost C fol a jet ski and a life jacket for t hours.
b. Graph this equation. Then state the slope and y-intercept.
c. What would the cost be for 2 life jackets and 2 jet skis for 8 hours?

1 Answer

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a. The equation is C(t) = 75t + 5 b. The graph of the equation is attached below, slope = 75, and y-intercept is 5. c. The total expense for renting 2 life jackets and 2 jet skis for a duration of 8 hours would amount to $605.

What is the slope-intercept form of a linear equation?

a. To write the equation, we have:

C = total rental cost

t = hours

initial value/y-intercept = 5

slope/unit rate = 75

Therefore, the equation for the total rental cost C for a jet ski and a life jacket for t hours can be written in slope-intercept form as follows:

C(t) = 75t + 5

b. To graph this equation, you can plot points on a coordinate plane. The slope of the equation is the coefficient of t, which is 75, and the y-intercept is the constant term, which is 5. So, the slope is 75, and the y-intercept is (0, 5). See the graph below.

c. To find the cost for 2 life jackets and 2 jet skis for 8 hours, you would substitute t = 8 into the equation:

C = 75(8) + 5

C = 600 + 5

C = 605

Therefore, the cost for 2 life jackets and 2 jet skis for 8 hours would be $605.

Your Turn 50. TRAVEL A rental company charges $75 per hour for a jet ski plus a $5 fee-example-1
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