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which numbers of the pounds of bananas and total cost of the bananas could be used as the missing values in the table

which numbers of the pounds of bananas and total cost of the bananas could be used-example-1
which numbers of the pounds of bananas and total cost of the bananas could be used-example-1
which numbers of the pounds of bananas and total cost of the bananas could be used-example-2
User Xenteros
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1 Answer

6 votes
Answer:

Options A, C, E

Explanations:

By carefully observing the table attached to this question:

If the number of pounds of banana purchased is represented by p and the cost is represented by c

Since it is a proportional relationship, it can be represented mathematically as:

p = kc

where k is the constant of proportionality

k = p/c

From the table, k = 3/1.47 = 5/2.45 = 9/4.41

k = 2.041

Any value that will represent the missing number of pounds and cost in the table must give a value k = 2.041

Let us consider the options one after the other:

Option A:

k = 2/0.98 = 2.041 (correct)

Option B:

k = 7/4.45 = 1.57 ≠ 2.041 (Wrong)

Option C:

k = 6/2.94 = 2.041 (correct)

Option D:

k = 1/0.54 = 1.85 ≠ 2.041 (wrong)

Option E:

k = 8/3.92 = 2.041 (correct)

User P Ekambaram
by
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