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

(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)
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

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

Answer 1

To calculate how much Ari will make for his yard service business, we need to create a function based on his pricing. Ari charges a flat rate of $10 plus $15 for each hour he works.

The function for the total charge \( C \) based on the number of hours \( h \) he works can be expressed as:

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

Next, let's calculate the total amount he will make for the specified hours (1, 1.5, 2, 2.5, and 3) and create a table.

1. For \( h = 1 \):
\[
C(1) = 10 + 15 \times 1 = 10 + 15 = 25
\]

2. For \( h = 1.5 \):
\[
C(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5
\]

3. For \( h = 2 \):
\[
C(2) = 10 + 15 \times 2 = 10 + 30 = 40
\]

4. For \( h = 2.5 \):
\[
C(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5
\]

5. For \( h = 3 \):
\[
C(3) = 10 + 15 \times 3 = 10 + 45 = 55
\]

Now, let's organize this information in a table:

| Hours Worked (h) | Total Charge (C) |
|-------------------|------------------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |

Based on the options provided, none perfectly match the correct output. The correct points based on our calculations are:

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

Thus the corresponding answer is:
- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)