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
(1,25)
, (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
(1,5)
, (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
(1,16)
, (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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page 15 of 15
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
(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
(1,16)
, (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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page 15 of 15
Answers
GPT-4o mini
To determine how much Ari will make, we can create a function based on his flat rate and hourly charge. The function can be defined as:
\[ \text{Earnings}(h) = 10 + 15h \]
where \( h \) represents the number of hours he works.
Now, let's calculate the earnings for the given hours: 1, 1.5, 2, 2.5, and 3.
- For \( h = 1 \):
\[ \text{Earnings}(1) = 10 + 15 \times 1 = 10 + 15 = 25 \]
- For \( h = 1.5 \):
\[ \text{Earnings}(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5 \]
- For \( h = 2 \):
\[ \text{Earnings}(2) = 10 + 15 \times 2 = 10 + 30 = 40 \]
- For \( h = 2.5 \):
\[ \text{Earnings}(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5 \]
- For \( h = 3 \):
\[ \text{Earnings}(3) = 10 + 15 \times 3 = 10 + 45 = 55 \]
Now we can create the table of earnings based on hours worked:
| Hours (h) | Earnings |
|-----------|-----------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |
From this table, we can summarize the results as points:
- (1, 25)
- (1.5, 32.5)
- (2, 40)
- (2.5, 47.5)
- (3, 55)
Thus, the correct response would be:
**(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)**
\[ \text{Earnings}(h) = 10 + 15h \]
where \( h \) represents the number of hours he works.
Now, let's calculate the earnings for the given hours: 1, 1.5, 2, 2.5, and 3.
- For \( h = 1 \):
\[ \text{Earnings}(1) = 10 + 15 \times 1 = 10 + 15 = 25 \]
- For \( h = 1.5 \):
\[ \text{Earnings}(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5 \]
- For \( h = 2 \):
\[ \text{Earnings}(2) = 10 + 15 \times 2 = 10 + 30 = 40 \]
- For \( h = 2.5 \):
\[ \text{Earnings}(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5 \]
- For \( h = 3 \):
\[ \text{Earnings}(3) = 10 + 15 \times 3 = 10 + 45 = 55 \]
Now we can create the table of earnings based on hours worked:
| Hours (h) | Earnings |
|-----------|-----------|
| 1 | 25 |
| 1.5 | 32.5 |
| 2 | 40 |
| 2.5 | 47.5 |
| 3 | 55 |
From this table, we can summarize the results as points:
- (1, 25)
- (1.5, 32.5)
- (2, 40)
- (2.5, 47.5)
- (3, 55)
Thus, the correct response would be:
**(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)**