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aleksklad [387]
3 years ago
15

Tim owns a sporting goods store.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0
1. Yes
2. Yes
3. No
4. No
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Which situation represents a proportional relationship?
lyudmila [28]

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D. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.

Step-by-step explanation:

A linear relationship is of the form y=mx+b, where, m is the unit rate and b is the fixed value (constant).

For a proportional relationship, the value of b=0 and thus it is of the form y=mx

Let us check each option and express it in the form above.

Option A:

Given:

Unit rate of purchasing a basket of apples, m=\$ 1.25

Fixed price for the basket, b=\$ 5

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Option B:

Given:

Unit rate of purchasing a banana, m=\$ 5

Fixed price for the box, b=\$ 3

Since, b \ne 0, therefore, it is not a proportional relationship.

Option C:

Given:

Unit rate of purchasing a lime, m=\$ 0.65

Discount from total cost, b=\$ 1

Since, b \ne 0, therefore, it is not a proportional relationship.

Option D:

Given:

Unit rate of purchasing an avocado = \$ 1.75

Unit rate of shipping = \$ 0.16

Therefore, total cost per pound is the sum of the unit rates of purchasing and shipping. So,

Total cost of avocados per pound, m=1.75+0.16=\$ 1.91

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Since, b = 0, therefore, it is a proportional relationship.

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