Question
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
(1,5)
, (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)
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
(1,25)
, (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
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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
(1,5)
, (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)
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
(1,25)
, (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
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Answers
GPT-4o mini
To determine how much Ari will make based on his pricing structure, we can create a function that represents his total earnings based on the number of hours worked.
Ari's charging structure can be expressed with the following function:
\[
f(h) = 10 + 15h
\]
Where:
- \( f(h) \) is the total earnings,
- \( h \) is the number of hours worked,
- $10 is the flat rate, and
- $15 is the hourly charge.
Now let's calculate the amounts for each specified number of hours:
1. For \( h = 1 \):
\[
f(1) = 10 + 15(1) = 10 + 15 = 25
\]
2. For \( h = 1.5 \):
\[
f(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5
\]
3. For \( h = 2 \):
\[
f(2) = 10 + 15(2) = 10 + 30 = 40
\]
4. For \( h = 2.5 \):
\[
f(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5
\]
5. For \( h = 3 \):
\[
f(3) = 10 + 15(3) = 10 + 45 = 55
\]
Now we can present the results in a table format:
| Hours Worked (h) | Earnings (f(h)) |
|-------------------|------------------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |
From the calculations and the table, we find that:
- The correct answer to the original multiple-choice question is: \( (1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55) \).
However, this exact response isn't among the provided choices. The values calculated do not correspond to the options given. Please double-check the options provided for any discrepancies.
Ari's charging structure can be expressed with the following function:
\[
f(h) = 10 + 15h
\]
Where:
- \( f(h) \) is the total earnings,
- \( h \) is the number of hours worked,
- $10 is the flat rate, and
- $15 is the hourly charge.
Now let's calculate the amounts for each specified number of hours:
1. For \( h = 1 \):
\[
f(1) = 10 + 15(1) = 10 + 15 = 25
\]
2. For \( h = 1.5 \):
\[
f(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5
\]
3. For \( h = 2 \):
\[
f(2) = 10 + 15(2) = 10 + 30 = 40
\]
4. For \( h = 2.5 \):
\[
f(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5
\]
5. For \( h = 3 \):
\[
f(3) = 10 + 15(3) = 10 + 45 = 55
\]
Now we can present the results in a table format:
| Hours Worked (h) | Earnings (f(h)) |
|-------------------|------------------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |
From the calculations and the table, we find that:
- The correct answer to the original multiple-choice question is: \( (1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55) \).
However, this exact response isn't among the provided choices. The values calculated do not correspond to the options given. Please double-check the options provided for any discrepancies.