Question

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Answer 1

First find the slope using the two points (2,225) and (5,480)
(480-225)/(5-2) = 85
Then find b.
225 = 85*2 + b
225 = 170 + b
55 = b
y = 85x + 55 OR f(x) = 85x + 55 This is the answer to PART B.
Standard form PART A is 85x - y = 55
PART C Plot the y intercept, 55. From the y intercept count the slope 85 up right 1 and plot a point, draw a line through the points
The x axis is the number of days so it would be in intervals of 1.
The y axis is money, I would do intervals of $5