Question

At a local pumpkin patch you can pick your own pumpkins. There is a $5 charge to enter the patch and then a $0.25 charge per pound of pumpkin. Let p

represent the weight of the pumpkin you choose and C(p)
represent the total cost of the pumpkin in terms of the weight of the pumpkin. Equation, in function notation:

Answer 1

C(p) = 0.25p + 5

Explanation:

$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.

m = slope, b = y-intercept

C(p) = mp + b

C(p) = 0.25p + 5