Use the image to answer the question.

Question

A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.

What is the ratio of Option A?

(1 point)
Responses

12 dollars for every 5 dollars
12 dollars for every 5 dollars

12 oranges for every 5 dollars
12 oranges for every 5 dollars

12 dollars for every 5 oranges
12 dollars for every 5 oranges

12 oranges for every 5 oranges

Answer 1

To determine the ratio of Option A, we look at one of the plotted points, specifically the point (12, 5). This means that for 12 oranges, there is 5 dollars earned.

Thus, the ratio can be expressed as:

• 12 oranges for every 5 dollars

Therefore, the correct response is:

12 oranges for every 5 dollars

Answer 2

Use the image to answer the question.

A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.

What is the ratio of Option B?

(1 point)
Responses

9 dollars for every 6 dollars
9 dollars for every 6 dollars

9 dollars for every 6 oranges
9 dollars for every 6 oranges

9 oranges for every 6 dollars
9 oranges for every 6 dollars

9 oranges for every 6 oranges

Answer 3

To determine the ratio of Option B, we can look at one of the plotted points, specifically the point (9, 6). This means that for 9 oranges, there is 6 dollars earned.

Thus, the ratio can be expressed as:

• 9 oranges for every 6 dollars

Therefore, the correct response is:

9 oranges for every 6 dollars

Answer 4

Use the image to answer the question.

A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.

Which coordinate pair should be plotted next for Option A to keep the ratio the same?

(1 point)
Responses

(48, 20)
left parenthesis 48 comma 20 right parenthesis

(37, 16)
left parenthesis 37 comma 16 right parenthesis

(41, 20)
left parenthesis 41 comma 20 right parenthesis

(40, 19)
left parenthesis 40 comma 19 right parenthesis
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Answer 5

To maintain the same ratio for Option A, we first need to identify the ratio from the plotted points.

The points for Option A are:

• (12, 5): This yields a ratio of $\frac{12\text{ oranges}}{5\text{ dollars}}=\frac{12}{5}$
• (24, 10): This also yields a ratio of $\frac{24\text{ oranges}}{10\text{ dollars}}=\frac{24}{10}=\frac{12}{5}$
• (36, 15): This yields a ratio of $\frac{36\text{ oranges}}{15\text{ dollars}}=\frac{36}{15}=\frac{12}{5}$

The consistent ratio for Option A is $\frac{12\text{ oranges}}{5\text{ dollars}}$.

To maintain this ratio, we will use the formula:

$$\text{Oranges}=\frac{12}{5}\times \text{Dollars}$$

Now, checking each option:

1. (48, 20): $$\frac{48}{20}=\frac{12}{5}\text{(This maintains the ratio)}$$
2. (37, 16): $$\frac{37}{16}\text{(Does not simplify to }\frac{12}{5}\text{)}$$
3. (41, 20): $$\frac{41}{20}\text{(Does not simplify to }\frac{12}{5}\text{)}$$
4. (40, 19): $$\frac{40}{19}\text{(Does not simplify to }\frac{12}{5}\text{)}$$

The only coordinate pair that keeps the ratio the same for Option A is:

(48, 20).

Answer 6

Use the image to answer the question.

A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.

Which coordinate pair should be plotted next for Option B to keep the ratio the same?

(1 point)
Responses

(30, 21)
left parenthesis 30 comma 21 right parenthesis

(33, 24)
left parenthesis 33 comma 24 right parenthesis

(29, 20)
left parenthesis 29 comma 20 right parenthesis

(36, 24)
left parenthesis 36 comma 24 right parenthesis
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Answer 7

To maintain the same ratio for Option B, we first need to identify the existing ratio from the plotted points.

The points for Option B are:

• (9, 6): This yields a ratio of $\frac{9\text{ oranges}}{6\text{ dollars}}=\frac{3}{2}$
• (18, 12): This also yields a ratio of $\frac{18\text{ oranges}}{12\text{ dollars}}=\frac{3}{2}$
• (27, 18): This yields a ratio of $\frac{27\text{ oranges}}{18\text{ dollars}}=\frac{3}{2}$

The consistent ratio for Option B is $\frac{3\text{ oranges}}{2\text{ dollars}}$.

To maintain this ratio, we will use the formula:

$$\text{Oranges}=\frac{3}{2}\times \text{Dollars}$$

Now, checking each option to see if it maintains the $\frac{3}{2}$ ratio:

1. (30, 21): $$\frac{30}{21}=\frac{10}{7}\text{(Does not equal }\frac{3}{2}\text{)}$$
2. (33, 24): $$\frac{33}{24}=\frac{11}{8}\text{(Does not equal }\frac{3}{2}\text{)}$$
3. (29, 20): $$\frac{29}{20}\text{(Does not equal }\frac{3}{2}\text{)}$$
4. (36, 24): $$\frac{36}{24}=\frac{3}{2}\text{(This maintains the ratio)}$$

The only coordinate pair that keeps the ratio the same for Option B is:

(36, 24).

Answer 8

Use the image to answer the question.

A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.

If someone plans to buy 36 oranges, which option will save them more money?

(1 point)
Responses

Option B, because the price is lower for the same number of oranges.
Option B, because the price is lower for the same number of oranges.

Option B, because the price is higher for the same number of oranges.
Option B, because the price is higher for the same number of oranges.

Option A, because the price is higher for the same number of oranges.
Option A, because the price is higher for the same number of oranges.

Option A, because the price is lower for the same number of oranges.
Option A, because the price is lower for the same number of oranges.

Answer 9

To determine which option saves more money when buying 36 oranges, we need to look at the cost for 36 oranges from both options.

From the points given:

• For Option A, the point (36, 15) indicates that purchasing 36 oranges costs 15 dollars.

• For Option B, the point (27, 18) indicates a cost of 18 dollars for 27 oranges. To find the cost for 36 oranges, we can determine the price per orange:

  • The cost per orange for Option B is $\frac{18\text{ dollars}}{27\text{ oranges}}=\frac{2}{3}\text{ dollars per orange}$.

  Now, to calculate the cost of 36 oranges: $$\text{Cost for 36 oranges}=36\times \frac{2}{3}=24\text{ dollars}.$$

Now we compare the costs:

• Option A: 15 dollars for 36 oranges.
• Option B: 24 dollars for 36 oranges.

Since 15 dollars (Option A) is less than 24 dollars (Option B), the choice that will save them more money is:

Option A, because the price is lower for the same number of oranges.