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.

Question

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).