Question

Responses (15,1), (17.5,1.5), (20,2), (22.5,2.5), (25,3) left 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) 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) left parenthesis 1 comma 5 right parenthesis , left parenthesis 1.5 comma 7.5 right parenthesis , left parenthesis 2 comma 10 right parenthesis , left parenthesis 2.5 comma 12.5 right parenthesis , left parenthesis 3 comma 15 right parenthesis (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

Answer 1

To determine how much Ari will make for different hours of work, we can create a function that calculates his earnings based on the number of hours he works.

Ari charges a flat rate of $10 plus an additional $15 per hour. The function can be defined as follows:

\[ E(h) = 10 + 15h \]

Where:
- \( E(h) \) is the total earnings for \( h \) hours worked.
- \( 10 \) is the flat fee he charges.
- \( 15h \) represents the additional charge for \( h \) hours worked.

Now we can calculate his earnings for the specified hours (1, 1.5, 2, 2.5, and 3):

1. For 1 hour:
\[ E(1) = 10 + 15 \cdot 1 = 10 + 15 = 25 \]

2. For 1.5 hours:
\[ E(1.5) = 10 + 15 \cdot 1.5 = 10 + 22.5 = 32.5 \]

3. For 2 hours:
\[ E(2) = 10 + 15 \cdot 2 = 10 + 30 = 40 \]

4. For 2.5 hours:
\[ E(2.5) = 10 + 15 \cdot 2.5 = 10 + 37.5 = 47.5 \]

5. For 3 hours:
\[ E(3) = 10 + 15 \cdot 3 = 10 + 45 = 55 \]

Now we can present this data in a table format:

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

Thus, the correct response considering Ari's charges is:

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