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.