Final answer:
To find the equation in slope-intercept form, use the formula y = mx + b, where m is the rate, x is the number of hours, and b is the initial deposit. In this case, the equation is y = 22x + 100. To calculate the total cost for 5 hours, substitute x with 5 in the equation to get y = 210.
Step-by-step explanation:
To write the equation in slope-intercept form, we can use the formula y = mx + b, where y represents the total cost, m represents the rate (slope), x represents the number of hours, and b represents the initial deposit.
In this situation, the rate is $22 per hour, so m = 22. The initial deposit is $100, so b = 100. We know that Jon rented the jet ski for 5 hours, so x = 5.
Plugging these values into the equation, we have y = 22x + 100. To find out how much Jon would need to pay, we can substitute the value of x with 5: y = 22(5) + 100 = 110 + 100 = $210.
Learn more about Slope-intercept form of an equation