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 A?
(1 point)
Responses
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
12 oranges for every 5 oranges
12 dollars for every 5 dollars
The correct answer is: 12 oranges for every 5 dollars.
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 oranges for every 6 oranges
9 oranges for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 oranges
9 oranges for every 6 dollars
The correct answer is: 9 dollars for every 6 oranges.
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
(40, 19)
left parenthesis 40 comma 19 right parenthesis
(37, 16)
left parenthesis 37 comma 16 right parenthesis
(41, 20)
To keep the ratio the same, we need to find a coordinate pair that follows the same pattern as the other points in Option A. Looking at the given points, we can see that the number of oranges is increasing by 12 each time, while the number of dollars is increasing by 5 each time.
Based on this pattern, the next coordinate pair for Option A would be (48, 20).
So, the correct answer is: (48, 20).
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
(36, 24)
left parenthesis 36 comma 24 right parenthesis
(29, 20)
left parenthesis 29 comma 20 right parenthesis
(30, 21)
left parenthesis 30 comma 21 right parenthesis
(33, 24)
To keep the ratio the same, we need to find a coordinate pair that follows the same pattern as the other points in Option B. Looking at the given points, we can see that the number of oranges is increasing by 9 each time, while the number of dollars is increasing by 6 each time.
Based on this pattern, the next coordinate pair for Option B would be (36, 24).
So, the correct answer is: (36, 24).
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 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.
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.
To determine which option will save more money when buying 36 oranges, we need to compare the prices for each option.
Looking at the given points, we can see that Option A has a price of $15 for 36 oranges, while Option B has a price of $18 for 36 oranges.
Therefore, Option A will save more money, because the price is lower for the same number of oranges.
So, the correct answer is: Option A, because the price is lower for the same number of oranges.
To find the ratio of Option A, we need to determine the relationship between the number of oranges and the amount of money for each point. Looking at the points given for Option A, we can see that as the number of oranges increases, the amount of money also increases.
The first point is (12, 5), which means that for 12 oranges, we have 5 dollars.
The second point is (24, 10), which means that for 24 oranges, we have 10 dollars.
The third point is (36, 15), which means that for 36 oranges, we have 15 dollars.
To simplify the ratio, we can divide both the number of oranges and the amount of money by their greatest common divisor, which is 3 in this case.
Dividing the numbers by 3, we get:
(12/3, 5/3) = (4, 5/3)
(24/3, 10/3) = (8, 10/3)
(36/3, 15/3) = (12, 5)
So, the simplified ratio for Option A is:
4 oranges for every 5/3 dollars, which can be further simplified as:
12 oranges for every 5 dollars.
Therefore, the correct answer is:
12 oranges for every 5 dollars.