The graph represents the amount of money Sal earns for babysitting.

Question

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Do the the ordered pairs (1, 8) and (2.5, 20) represent a different rate in the graph?

A.
Yes, Sal gets paid more for more hours worked.

B.
Yes, Sal increases his rate for each hour worked.

C.
No, Sal is paid the same rate for each hour worked.

D.
No. Sal decreases his rate for each hour worked.

Answer 1

To determine whether the ordered pairs (1, 8) and (2.5, 20) represent a different rate in the graph, we need to find out the slope (rate of pay) between these two points.

1. The first ordered pair (1, 8) means that for 1 hour of babysitting, Sal earns $8.
2. The second ordered pair (2.5, 20) means that for 2.5 hours of babysitting, Sal earns $20.

To find the rate, we can calculate the pay per hour for each pair:

• For (1, 8): \( \text{Rate} = \frac{8}{1} = 8 \) dollars/hour.
• For (2.5, 20): \( \text{Rate} = \frac{20}{2.5} = 8 \) dollars/hour.

Since Sal is earning the same rate of $8 per hour for both time intervals, the correct answer is:

C. No, Sal is paid the same rate for each hour worked.