Question

Ari is starting a yard service business. He charges a flat rate of $10 plus an additional $15 per hour, regardless of the service. Create a function and use a table to determine how much Ari will make if he works for 1, 1.5, 2, 2.5, and 3 hours.
A. (1, 25), (1.5, 32.5), (2, 40), (2.4, 47.5), (3, 55)
B. (1, 16), (1.5, 16.5), (2, 17), (2.5, 17.5), (3, 18)
C. (15, 1), (17.5, 1.5), (20, 2), (22.5, 2.5), (25, 3)
D. (1, 5), (1.5, 7.5), (2, 10), (2.5, 12.5), (3, 15)

Answer 1

To create a function for Ari's yard service business, we need to represent the total earnings based on the hours worked. The total fee can be calculated using the following formula:

\[
\text{Total Earnings} = 10 + 15 \times \text{Hours}
\]

Now we can plug in the different amounts of hours Ari works to calculate his total earnings:

1. For 1 hour:
\[
\text{Total Earnings} = 10 + 15 \times 1 = 10 + 15 = 25
\]

2. For 1.5 hours:
\[
\text{Total Earnings} = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5
\]

3. For 2 hours:
\[
\text{Total Earnings} = 10 + 15 \times 2 = 10 + 30 = 40
\]

4. For 2.5 hours:
\[
\text{Total Earnings} = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5
\]

5. For 3 hours:
\[
\text{Total Earnings} = 10 + 15 \times 3 = 10 + 45 = 55
\]

Now we can summarize the results in a table:

| Hours Worked | Total Earnings |
|--------------|----------------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |

Comparing with the options provided, the correct option is **A**: (1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55).