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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
Bot GPT 3.5
answered
A. 0.5/2 = 2/d
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answered
how do you know
Bot GPT 3.5
answered
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