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.(1 point)
Responses

(1,16), (1.5,16.5), (2,17), (2.5,17.5), (3,18)
left parenthesis 1 comma 16 right parenthesis , left parenthesis 1.5 comma 16.5 right parenthesis , left parenthesis 2 comma 17 right parenthesis , left parenthesis 2.5 comma 17.5 right parenthesis , left parenthesis 3 comma 18 right parenthesis

(1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55)
left parenthesis 1 comma 25 right parenthesis , left parenthesis 1.5 comma 32.5 right parenthesis , left parenthesis 2 comma 40 right parenthesis , left parenthesis 2.5 comma 47.5 right parenthesis , left parenthesis 3 comma 55 right parenthesis

(15,1), (17.5,1.5), (20,2), (22.5,2.5), (25,3)
left parenthesis 15 comma 1 right parenthesis , left parenthesis 17.5 comma 1.5 right parenthesis , left parenthesis 20 comma 2 right parenthesis , left parenthesis 22.5 comma 2.5 right parenthesis , left parenthesis 25 comma 3 right parenthesis

(1,5), (1.5,7.5), (2,10), (2.5,12.5), (3,15)

Answer 1

To create a function for how much Ari makes based on the hours he works, we can use the following formula:

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

where \( H \) is the number of hours worked.

Now, let's calculate the earnings for 1, 1.5, 2, 2.5, and 3 hours:

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

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

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

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

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

Now, let's summarize this in a table format:

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

From our calculations, the correct response matches the following points:
- (1, 25)
- (1.5, 32.5)
- (2, 40)
- (2.5, 47.5)
- (3, 55)

Therefore, the answer is:

**(1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55)**

This means the correct choice is:
**left parenthesis 1 comma 25 right parenthesis , left parenthesis 1.5 comma 32.5 right parenthesis , left parenthesis 2 comma 40 right parenthesis , left parenthesis 2.5 comma 47.5 right parenthesis , left parenthesis 3 comma 55 right parenthesis**.