Question
Christian got a haircut yesterday afternoon. If the hair stylist charged $18 and Christian gave a 20% tip, how much did he pay for the haircut?
A.
$3.60
B.
$14.40
C.
$21.60
D.
$22.60
Janice has a pasta recipe that calls for 2 ounces of cheese for every 3 ounces of cooked pasta. Which graph shows this relationship between cheese and pasta?
A
.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (2, 3), (4, 6) and (6, 9).
B.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (3, 2), (6, 4), and (9, 6).
C.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (2, 2), (4, 4), (6, 6), (8, 8) and (10, 10).
D.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (5, 2) and (10, 4).
A.
$3.60
B.
$14.40
C.
$21.60
D.
$22.60
Janice has a pasta recipe that calls for 2 ounces of cheese for every 3 ounces of cooked pasta. Which graph shows this relationship between cheese and pasta?
A
.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (2, 3), (4, 6) and (6, 9).
B.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (3, 2), (6, 4), and (9, 6).
C.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (2, 2), (4, 4), (6, 6), (8, 8) and (10, 10).
D.
The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing a upward facing line starting (0, 0) and passing through the points (5, 2) and (10, 4).
Answers
GPT-4o mini
To solve the first problem regarding Christian's haircut:
1. The cost of the haircut is $18.
2. Christian gave a 20% tip on that amount.
3. To find the tip:
\[
20\%\, \text{of}\, 18 = 0.20 \times 18 = 3.60
\]
4. Now, to find the total amount paid, add the tip to the original haircut cost:
\[
18 + 3.60 = 21.60
\]
Therefore, the total amount Christian paid for the haircut is **C. $21.60**.
For the second problem regarding the pasta recipe:
The recipe calls for 2 ounces of cheese for every 3 ounces of pasta. This indicates a ratio of cheese to pasta, which can also be represented as:
\[
\frac{\text{cheese}}{\text{pasta}} = \frac{2}{3}
\]
From this ratio, if you have 'x' ounces of pasta, then the ounces of cheese 'y' can be calculated as:
\[
y = \frac{2}{3}x
\]
To identify the suitable points:
- If pasta = 0 ounces, cheese = 0 ounces (point (0, 0)).
- If pasta = 3 ounces, cheese = 2 ounces (point (3, 2)).
- If pasta = 6 ounces, cheese = 4 ounces (point (6, 4)).
- If pasta = 9 ounces, cheese = 6 ounces (point (9, 6)).
From these calculations, we can see that the correct graph based on the points generated will be:
**B. The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing an upward facing line starting (0, 0) and passing through the points (3, 2), (6, 4), and (9, 6).**
1. The cost of the haircut is $18.
2. Christian gave a 20% tip on that amount.
3. To find the tip:
\[
20\%\, \text{of}\, 18 = 0.20 \times 18 = 3.60
\]
4. Now, to find the total amount paid, add the tip to the original haircut cost:
\[
18 + 3.60 = 21.60
\]
Therefore, the total amount Christian paid for the haircut is **C. $21.60**.
For the second problem regarding the pasta recipe:
The recipe calls for 2 ounces of cheese for every 3 ounces of pasta. This indicates a ratio of cheese to pasta, which can also be represented as:
\[
\frac{\text{cheese}}{\text{pasta}} = \frac{2}{3}
\]
From this ratio, if you have 'x' ounces of pasta, then the ounces of cheese 'y' can be calculated as:
\[
y = \frac{2}{3}x
\]
To identify the suitable points:
- If pasta = 0 ounces, cheese = 0 ounces (point (0, 0)).
- If pasta = 3 ounces, cheese = 2 ounces (point (3, 2)).
- If pasta = 6 ounces, cheese = 4 ounces (point (6, 4)).
- If pasta = 9 ounces, cheese = 6 ounces (point (9, 6)).
From these calculations, we can see that the correct graph based on the points generated will be:
**B. The graph showing 'pasta' from 0 to 10 along the x-axis and 'cheese' from 0 to 10 along the y axis showing an upward facing line starting (0, 0) and passing through the points (3, 2), (6, 4), and (9, 6).**