Question

At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengel family rented a boat from 11 am - 6:30 pm and paid $226.50. Write in slope intercept form.

Answer 1

To write the equation in slope-intercept form, we need to determine the slope and the y-intercept. The equation in slope-intercept form is y = 25x + 39.

Step-by-step explanation:

To write the equation in slope-intercept form, we need to determine the slope and the y-intercept. Let's start by finding the slope. The Bengel family rented the boat from 11 am to 6:30 pm, which is a total of 7.5 hours. The cost for this time period is $226.50. Since the cost is $25 per hour, we can set up the equation: 25x + b = 226.50, where x is the number of hours and b is the one-time charge for cleaning.

Next, we can find the y-intercept by substituting the values of x and the cost into the equation. We have 25(7.5) + b = 226.50. Solving for b, we get b = 226.50 - 187.50 = 39.

Therefore, the equation in slope-intercept form is y = 25x + 39.

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