Question

Viola can work no more than 11 hours a week at her part-time job. She gets paid $7.75 per hour. Let p stand for the amount she gets paid for h hours. What domain and range are reasonable for this situation?

Answer 1

Start by creating an equation: p=7.75x.
We know that she can work from 0-11 hours per week, so the domain would be 0</=x</=11
When looking at range, we need to find out the most money she can make working from 0-11 hours, so multiply 7.75 by 11.
7.75*11=85.25
Therefore she can make $0 to $85.25 this week, so the range is 0</=x</=85.25
The answer would be D.
Hope this helps!

Answer 2

D.

Explanation:

To find the right domain and range, we just have to express each set with the proper values for each variable.

So, if Viola can work no more than 11 hours, this means that she can only work 11 hours or less, that would expressed like this:

`0\leq h\leq 11`

This means that the domain goes from 0 hours to 11 hours, which is the most logical set for the domain according to the given restriction.

Now, the range must represent the money she could make according to this domain. We know that she gets $7.75 per hours. If she works 0 hours, she gets $0, if she works 11 hours (which is the max), she gets $7.75(11)=$85.25.

This means that the range goes from $0 to $85.25, which is expressed like this:

`0\leq p\leq 85.25`

Therefore, the correct choice is D, because it shows the right sets for the domain and range.