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

(1,25)
, (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

(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

(1,5)
, (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

(15,1)
, (17.5,1.5)
, (20,2)
, (22.5,2.5)
, (25,3)

Answer 1

To calculate how much Ari will make for his yard service business based on the number of hours he works, we can create a function that represents his pricing. The function can be given as:

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

where:
- \( C(h) \) is the total cost for \( h \) hours of work,
- \( 10 \) is the flat rate,
- \( 15h \) is the additional charge per hour.

Now, let's create a table with the function values for the hours worked:

| Hours Worked (h) | Total Charge (C(h)) |
|-------------------|---------------------|
| 1 | 10 + 15(1) = 25 |
| 1.5 | 10 + 15(1.5) = 32.5 |
| 2 | 10 + 15(2) = 40 |
| 2.5 | 10 + 15(2.5) = 47.5 |
| 3 | 10 + 15(3) = 55 |

The values are:

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

So, the correct response for Ari's total earnings based on the hours worked is:

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