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

(1,25)

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

Answer 1

To determine how much Ari makes based on the hours he works, we can create a function. The total amount Ari charges can be represented as:

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

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

Next, we can calculate the total cost for the given hours: 1, 1.5, 2, 2.5, and 3.

| Hours (h) | Total Cost ($) | |-----------|----------------------| | 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 | \( 10 + 15(3) = 55 \) |

So, the table of values will be:

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

Thus, the correct responses among the choices given is:

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