Write the piecewise defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage.

Step-by-step explanation:

Given

See attachment for question

Required

The piece-wise function

From the attachment, we have:

(1) $4/hr for first 2 hours

This is represented as:

The domain is:

(2) $2/hr for next 4 hours

Here, we have:

The total cost in the first 2 hours is:

So, this function is represented as:

----- 2 represents the first 2 hours

So, we have:

Open brackets

Collect like terms

The domain is:

(3) 0 charges for the last 2 hours

The maximum charge from (2) is:

Since there will be no additional charges, then:

And the domain is:

--- 8 represents the limit

So, we have:

y=mx+b

step-by-step explanation:

m slope, b y-intercept

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5