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
9 answers
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:
Therefore, the correct response is:
12 oranges for every 5 dollars
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:
Therefore, the correct response is:
9 oranges for every 6 dollars
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:
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:
The only coordinate pair that keeps the ratio the same for Option A is:
(48, 20).
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:
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:
The only coordinate pair that keeps the ratio the same for Option B is:
(36, 24).
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:
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:
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.
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