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.

Question

A. (1,16), (1.5,16.5), (2,17), (2.5,17.5),(3,18)
B. (1,5), (1.5,7.5), (2,10), (2.5,12.5), (3,15)
C. (15,1), (17.5,1.5), (20,2), (22.5,2.5), (25,3)
D. (1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55)

Answer 1

To determine how much Ari will make based on the hours he works, we can create a function based on his pricing structure. The function can be represented as:

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

Now, let's calculate the earnings for each specified hour:

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

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

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

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

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

Now, we can create a table of the results:

\[ \begin{array}{|c|c|} \hline \text{Hours Worked} & \text{Total Earnings} \ \hline 1 & 25 \ 1.5 & 32.5 \ 2 & 40 \ 2.5 & 47.5 \ 3 & 55 \ \hline \end{array} \]

Thus, the coordinates representing the total earnings for the different hours worked are:

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

Based on the provided options, the correct answer is:

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