Two Points Applications

Question

Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $190 more than it di the day before. If he rented the same boat on Monday for just two hours, find the total cost to rent the boat for three days.

Answer 1

There is a flat fee involved, which is the y-intercept of the line.

The line eats the points:

(3, 435)

and

(5, 625)

the slope is 190/2 = 95

B = y - mx = 435 - (95)(3)

= 435 - 285

= 150

The linear function is:

y = 95x + 150

So for x=2, it will cost

95(2) + 150 = 190 + 150 = 340

435 + 625 + 340 = 1400