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)

Question

Responses

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

(1,16)
(
1
,
16
)
, (1.5,16.5)
(
1.5
,
16.5
)
, (2,17)
(
2
,
17
)
, (2.5,17.5)
(
2.5
,
17.5
)
, (3,18)
(
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

Answer 1

To create a function for Ari's yard service business, we can define it based on his pricing structure. Ari charges a flat rate of $10 plus an additional $15 per hour worked.

The function can be represented as follows:

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

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

Now, let's create a table to determine how much Ari will make for 1, 1.5, 2, 2.5, and 3 hours of work:

| Hours Worked (h) | Earnings (f(h)) | |------------------|------------------| | 1 | $10 + 15(1) = $25 | | 1.5 | $10 + 15(1.5) = $32.50 | | 2 | $10 + 15(2) = $40 | | 2.5 | $10 + 15(2.5) = $47.50 | | 3 | $10 + 15(3) = $55 |

Hence the pairs of hours and earnings are:

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

So the correct response would be: left parenthesis 25 comma 1 right parenthesis , left parenthesis 32.5 comma 1.5 right parenthesis , left parenthesis 40 comma 2 right parenthesis , left parenthesis 47.5 comma 2.5 right parenthesis , left parenthesis 55 comma 3 right parenthesis.