Mackenzie is driving to a concert and needs to pay for parking. There is an automatic fee of $5 just to enter the parking lot, and when she leaves the lot,
she will have to pay an additional $2 for every hour she had her car in the lot.
How much total money would Mackenzie have to pay for parking if she left
her car in the lot for 3 hours? How much would Mackenzie have to pay
if she
left her car in the lot for t hours?
Cost of parking for 3 hours:
|
Cost of parking for t hours:

Cost of parking with respect to time can be denoted as a function . (t in hours)

When we park the car we automatically pay 5 dollars no matter how long we stay. So the first step to building our cost function is a simple constant,

But we also given that every hour we will pay 2 extra dollars. This means that after 1 hour we will pay the total of dollars and after 3 hours we will pay a total of dollars.

So our function of cost does depend on time, namely

.

Hope this helps.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

2160ft3

step-by-step explanation: