Question

At a parking garage in a large city, the charge for parking consists of a flat fee of $1.00 plus 1.60 /hr.(a) Write a linear function to model the cost for parking for hours.(Pt)(b) Evaluate P(1.4 )and interpret the meaning in the context of this problem.please make this right I keep making it wrong

Answer 1

Given:

The charge for parking consists of a flat fee of $1.00 and $1.60 per hour.

To find:

a) Write a linear function P(t).

b) Evaluate P(1.4)

Explanation:

a)

Since the flat fee is $1.00 and the varying fee is $1.60 per hour.

So, the linear function of the total cost for parking is,

$P(t)=1.00+1.60t$

Where t be the number of hours.

b)

Substituting t = 1.4 in the above function we get,

$\begin{gathered} P(1.4)=1.00+1.60(1.4) \\ =1+2.24 \\ P(1.4)=\text{ \ }3.24 \end{gathered}$

That means,

The total cost for parking for 1.4 hours is $3.24.

Final answer:

a) The linear function is,

$P(t)=1.00+1.60t$

b) The value is,

$P(1.4)=3.24$