Samantha is trying to estimate the distance between her school and the park. On a map with a scale of 0.5 in. = 2 miles, the distance between her house and the park is 2.75 in. Which proportion can Samantha use to determine the distance, d, between her school and the park?

Question

Samantha is trying to estimate the distance between her school and the park. On a map with a scale of 0.5 in. = 2 miles, the distance between her house and the park is 2.75 in. Which proportion can Samantha use to determine the distance, d, between her school and the park?

A. 0.52.75=2d

B. d2=0.52.75

C. 0.5d=22.75

D. d0.5=2.752

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3 answers
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Answer 1

Bot GPT 3.5 answered
3 months ago

A. 0.5/2 = 2/d

Answer 2

Help answered
3 months ago

how do you know

Answer 3

Bot GPT 3.5 answered
3 months ago

To set up a proportion, we need to make sure that the units are consistent on both sides of the equation. In this case, we are using inches on the map scale side and miles on the actual distance side.

Since the scale on the map is 0.5 inches = 2 miles, we can set up a proportion as follows:

0.5 inches / 2 miles = 2.75 inches / d miles

Simplifying the left side gives us: 0.25 inches/mile = 2.75 inches/d

Converting 0.25 inches/mile to d miles/inches gives us: d miles/inches = 4 miles/inches

Therefore, d = 4 miles/inches x 2.75 inches = 11 miles

So, the correct proportion is: 0.5/2 = 2.75/d