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?

Short answer

The type of function that represents this situation is astep up function.

Step-by-step solution

­- Description of step.

It is given that theparking 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.

­- 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$.

­- 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 astep up function.