Q48. - Algebra 1

Question

BABYSITTING Christina earns $ 7.50 an hour babysitting.

a. Write an algebraic expression to represent the money Christina will earn if she works $h$ hours.

b. Choose five values for the number of hours Christina can babysit. Create a table with $h$ and the amount of money she will make during that time.

c. Use the values in your table to create a graph.

d. Does it make sense to connect the points in your graph with a line? Why or why not?

Step-by-Step Solution

Answer

a. The algebraic expression is 7.50h.

(b) The table is:

                                                                                                                                                        

Number of hours	Money Earned
1	7.50
2	15
3	22.50
4	30
5	37.50

 

c. The graph is:

 

d. Yes, it makes sense to connect the points in your graph with a line. Because Christina can be paid for partial hours. 

Part a. Step 1. Given.

Christina earns $ 7.50 an hour babysitting.

Part a. Step 2. To determine.

We have to find an algebraic expression to represent the money Christina will earn if she works $h$ hours.

Part a. Step 3. Calculation.

We will use the unitary method.

In 1 hour, she earns = $7.50

So, in h hours, she earns = $7.50h

Part b. Step 1. Given.

Christina earns $ 7.50 an hour babysitting.

Part b. Step 2. To determine.

We have to choose five values for the number of hours Christina can babysit. Then have to create a table with $h$ and the amount of money she will make during that time.

Part b. Step 3. Calculation.

Let us take h = 1, 2, 3, 4, 5

Then we make a table for these values of h.

                 

Number of hours	Money Earned
1	7.50(1) = 7.50
2	7.50(2) = 15
3	7.50(3) = 22.50
4	7.50(4) = 30
5	7.50(5) = 37.50

Part c. Step 1. Given.

Christina earns $ 7.50 an hour babysitting.

Part c. Step 2. To determine.

We have to make a graph use the values in your table to create a graph.

Part c. Step 3. Calculation.

We plot the points on a graph and join them using a line. 

Part d. Step 1. Given.

Christina earns $ 7.50 an hour babysitting.

Part d. Step 2. To determine.

We have to find if it makes sense to connect the points in your graph with a line. 

Part d. Step 3. Reason.

Yes, it makes sense to connect the points in your graph with a line. Because time is a continuous function. And we can have any value for h. So, depending on the values of h, we can have continuous values for earning.

It means Christina can be paid for partial hours.