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

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

GPT-4o mini · Answer

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).