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

(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)
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

Answer 1

Ari's pricing structure can be represented with the following function for his total earnings, \( E(h) \), where \( h \) is the number of hours worked:

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

Now, we can create a table to calculate how much Ari will make for the specified hours:

| Hours Worked (h) | Earnings (E(h)) |
|------------------|------------------|
| 1 | \( E(1) = 10 + 15(1) = 25 \) |
| 1.5 | \( E(1.5) = 10 + 15(1.5) = 32.5 \) |
| 2 | \( E(2) = 10 + 15(2) = 40 \) |
| 2.5 | \( E(2.5) = 10 + 15(2.5) = 47.5 \) |
| 3 | \( E(3) = 10 + 15(3) = 55 \) |

Thus, the results for Ari’s earnings based on hours worked are:

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

The correct response is:

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