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

Question

A. (1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)
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, 16), (1.5, 16.5), (2, 17), (2.5, 17.5), (3, 18)

Answer 1

To create the function that represents how much Ari will make based on the hours he works, we can express the total amount he makes \( M \) as a function of hours \( h \):

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

Now we can calculate the amounts for different hours:

• For 1 hour: \[ M(1) = 10 + 15(1) = 10 + 15 = 25 \]

• For 1.5 hours: \[ M(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5 \]

• For 2 hours: \[ M(2) = 10 + 15(2) = 10 + 30 = 40 \]

• For 2.5 hours: \[ M(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5 \]

• For 3 hours: \[ M(3) = 10 + 15(3) = 10 + 45 = 55 \]

So the table of results for the different hours worked is:

1. (1, 25)
2. (1.5, 32.5)
3. (2, 40)
4. (2.5, 47.5)
5. (3, 55)

Hence, the correct choice that matches our calculations is:

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