Question

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1.The amount of money Sheryl makes in a day is directly proportional to the amount of hours she works. This relationship is modeled in the graph below. If Sheryl works 6.5 hours in a day, she makes approximately (choices: 87,90,78, 85, 81)

2. The amount of money Sheryl makes in a day is directly proportional to the amount of hours she works. This relationship is modeled in the graph below.
A. Identify the two points located on the graph and explain what they represent in the context of this situation. Use complete sentences in your answer.
B. Approximately how much money will Sheryl earn if she works 9 hours?

Answer 1

1. If Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

2A. If Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

If Sheryl works 9 hours she will make approximately 117 currency.

Step-by-step explanation:

Step 1:

To calculate how much Sheryl makes if she works 6.5 hours a day, we check the graph to see what the y value of the graph is when $x =6.5$.

When $x =6.5$, the line falls on $y = 85.$

So if Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

Step 2:

The two points on the graph are at (0, 0) and (1, 13).

This means that if Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

These two statements explain the two points on the graph.

Step 3:

To calculate how much Sheryl makes if she works 9 hours, we must create an equation that represents how much money she makes.

If she earns approximately 13 currency an hour, her wage is $y = 13x$, where x is the number of hours worked and y is the wage.

When $x =9$, $y = 9(13) = 117.$

So if Sheryl works 9 hours she will make approximately 117 currency.