John wants to rent a tent to go camping. The cost to rent a tent from Woodland Outfitters is a flat rate of $10.00 plus $0.50 for each night the tent is rented.

Part a. Let x represent the number of nights John keeps the tent and write a cost function, c(x), for the cost to rent a tent from Woodland Outfitters.

Part b. How much will John owe if he uses the tent for five nights?

Question

John wants to rent a tent to go camping. The cost to rent a tent from Woodland Outfitters is a flat rate of $10.00 plus $0.50 for each night the tent is rented.

Part a. Let x represent the number of nights John keeps the tent and write a cost function, c(x), for the cost to rent a tent from Woodland Outfitters.

Part b. How much will John owe if he uses the tent for five nights?

anonymous · Answer

Your first one is f(7) = 2(7) + 6 = 14 + 6 = 20.

Your second one is different. You have to write your own function. If you have to pay $10 just to get a tent without even using it (you used it for 0 nights), then the y-intercept is 10. For each night, you pay $0.50 more dollars (or 1/2). This is the slope. The function is c(x) = (1/2)x + 10.

Then, if you plug in 5 for x,
c(5) = (1/2)(5) + 10
c(5) = (5/2) + 10
c(5) = $12.50

The f(7) and c(5) can be confusing, but it just means plug in 7 or 5 or whatever is in the parentheses for x.