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

(1,25)
, (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

(1,16)
, (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

(1,5)
, (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)

GPT-4o mini · Answer

To create a function that represents the total earnings of Ari's yard service business, we can combine the flat rate and the hourly rate. The function can be defined as:

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

where $ E(h) $ is the total earnings after $ h $ hours of work, and the flat rate is $10 with an additional $15 per hour.

Now, let's calculate Ari's earnings for 1, 1.5, 2, 2.5, and 3 hours:

For $ h = 1 $: \[ E(1) = 10 + 15 \times 1 = 10 + 15 = 25 \]
For $ h = 1.5 $: \[ E(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5 \]
For $ h = 2 $: \[ E(2) = 10 + 15 \times 2 = 10 + 30 = 40 \]
For $ h = 2.5 $: \[ E(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5 \]
For $ h = 3 $: \[ E(3) = 10 + 15 \times 3 = 10 + 45 = 55 \]

Now, we can summarize this information in a table:

| Hours worked (h) | Earnings (E(h)) | |-------------------|------------------| | 1 | 25 | | 1.5 | 32.5 | | 2 | 40 | | 2.5 | 47.5 | | 3 | 55 |

Thus, the correct response from the options given is: (1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55).