Using Ratios in the Coordinate Plane Quick Check

Question

5 of 55 of 5 Items

Question
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 higher 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 lower for the same number of oranges.
Option B, 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 A, because the price is lower 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.
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Answer 1

To determine which option saves more money when buying 36 oranges, we can look at the points plotted for both options on the graph for 36 oranges.

• For Option A, the point corresponding to 36 oranges is (36, 15). This means the cost for 36 oranges is $15.
• For Option B, the point for 36 oranges is (27, 18). This means the cost for 36 oranges is $18.

Now we can compare the costs:

• Option A: $15 for 36 oranges
• Option B: $18 for 36 oranges

Since Option A costs less, the correct answer is:

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