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

(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 17.5 right parenthesis , left parenthesis 3 comma 18 right parenthesis

(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

(1,25)
(
1
,
25
)
, (1.5,32.5)
(
1.5
,
32.5
)
, (2,40)
(
2
,
40
)
, (2.5,47.5)
(
2.5
,
47.5
)
, (3,55)
(
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
)
, (1.5,7.5)
(
1.5
,
7.5
)
, (2,10)
(
2
,
10
)
, (2.5,12.5)
(
2.5
,
12.5
)
, (3,15)

Answer 1

To create the function that calculates how much Ari will make based on the number of hours worked, we can represent it as follows:

\[ \text{Total Cost} = 10 + 15 \times \text{hours} \]

Now we can fill out a table for the number of hours worked (1, 1.5, 2, 2.5, and 3) along with the corresponding total earnings:

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

So, the correct values representing the rule above are:

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

Thus, the answer that matches these calculations is:

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