Question

!!100 POINTS AND BRAINLIEST ANSWER!! 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. (4 points)

Part B: Write the equation obtained in Part A using function notation.(2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answer 1

We have two coordinates here: (2, 225) & (5, 480)

Now, Calculate for the Slope:
m = y2-y1 / x2-x1
m = 480-225 / 5-2
m = 255/3
m = 85

y - y1 = m(x - x1)
y - 225 = 85(x - 2)
y - 225 = 85x - 170
y = 85x + 55
8x - y = -55 [ Final Equation in the standard form ]

B.) F(x) = 85x + 55

C.) For x=1, F(x) = 85(1) + 55 = 140
For x = 2, F(x) = 85(2) + 55 = 225
For x = 3, F(x) = 85(3) + 55 = 310

In short, Your Coordinates for the Graph would be: (1, 140) (2, 225), (3, 310)...

Hope this helps!