Q44. - Algebra 2

Question

For exercise 43-45, use the following information.

The parking garage at Burrough’s Department store charges $$\mathbf{1}\mathbf{.}\mathbf{50}$ for each hour or fraction of an hour for parking.

What type of function represents this situation?

Step-by-Step Solution

Answer

The type of function that represents this situation is a step up function. 

Step 1 ­- Description of step.

It is given that the parking garage at Burrough’s Department store charges $$1.50$ for each hour or fraction of an hour for parking.

That implies the charge for the time greater than 0 but less than or equal to 1 hour is $$1.50$.

Therefore, the charge for the time greater than 1 hour and less than or equal to 2 hours is:

$\$1.50\times 2=\$3.00$

Therefore, the charge for the time greater than 2 hour and less than or equal to 3 hours is:

$\$1.50\times 3=\$4.50$

Similarly, the pattern continues.

Step 2 ­- Description of step.

Therefore, it can be noticed that for the time $t$:

If $0<t\le 1$, charge is $$1.50$.

If $1<t\le 2$, charge is $$3.00$.

If $2<t\le 3$, charge is $$4.50$.

Step 3 &shy;- Description of step.

Therefore, the graph of the function is:

Therefore, from the graph of the function it can be noticed that the function is a step-up function.

Therefore, the type of function that represents this situation is a step up function.