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

(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)
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 answer

To determine how much Ari will make working various hours, we can create a function based on his pricing structure. The total amount earned is calculated by the equation:

\[ \text{Total Earnings} = 10 + 15 \times \text{Hours Worked} \]

Let's now calculate how much Ari will earn for 1, 1.5, 2, 2.5, and 3 hours:

  1. For 1 hour: \[ \text{Total Earnings} = 10 + 15 \times 1 = 10 + 15 = 25 \]

  2. For 1.5 hours: \[ \text{Total Earnings} = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5 \]

  3. For 2 hours: \[ \text{Total Earnings} = 10 + 15 \times 2 = 10 + 30 = 40 \]

  4. For 2.5 hours: \[ \text{Total Earnings} = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5 \]

  5. For 3 hours: \[ \text{Total Earnings} = 10 + 15 \times 3 = 10 + 45 = 55 \]

Now, we can summarize this in a table as follows:

| Hours Worked | Earnings | |--------------|----------| | 1 | 25 | | 1.5 | 32.5 | | 2 | 40 | | 2.5 | 47.5 | | 3 | 55 |

From the calculations, the correct notation for Ari's earnings at different hours worked is:

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

Therefore, the correct choice is:

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