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 (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 (1,25) , (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)

Answer 1

To create a function for Ari's yard service business, we can define the total charge \( T \) based on the number of hours \( h \) he works.

Ari's charges consist of:
- A flat rate of $10
- An additional $15 per hour

Thus, the function can be defined as:

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

Now, we can use this function to calculate the total charge for different values of \( h \) (the number of hours worked):

1. For \( h = 1 \):
\[
T(1) = 10 + 15 \times 1 = 10 + 15 = 25
\]

2. For \( h = 1.5 \):
\[
T(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5
\]

3. For \( h = 2 \):
\[
T(2) = 10 + 15 \times 2 = 10 + 30 = 40
\]

4. For \( h = 2.5 \):
\[
T(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5
\]

5. For \( h = 3 \):
\[
T(3) = 10 + 15 \times 3 = 10 + 45 = 55
\]

Now we can summarize this information in a table:

| Hours (h) | Total Charge (T) |
|-----------|------------------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |

Based on your provided response options, it appears that none of the points I calculated matches the options given.

However, the correct points based on my calculations are:
- (1, 25)
- (1.5, 32.5)
- (2, 40)
- (2.5, 47.5)
- (3, 55)

So, the correct response is:
**(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)**.