Convert the map scale to a unit rate. How many inches represent one mile? Show your work. Interpret the meaning of the unit rate.
3
10
in
.
=
7
8
mi
.
(3/10 in)/(7/8 mi) * (1mi)/(12*5280in) = (3/10 in)/63360in = 1:211200
or,
(3/10) / (7/8) = 3/10 * 8/7 = 24/70
so 1in = 12/35 mi
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Why are u searching the answer??? I'm her math teacher. You are getting a 0% in my class. Your classmates told me you were searching the answer. they send me the link. I know who you are.
To convert the map scale to a unit rate, you need to set up a ratio where the numerator represents the number of inches and the denominator represents the number of miles.
Given: 3 inches represent 10 miles, we can set up the ratio as follows:
3 in / 10 mi
To convert this ratio to a unit rate, we need to simplify it so that the denominator is 1. To do this, we divide both the numerator and denominator by the same number. In this case, we can divide both by 10, which gives us:
(3 in / 10 mi) ÷ 10
Simplifying this expression, we get:
0.3 in / 1 mi
Therefore, the unit rate is 0.3 inches per mile.
Now, let's interpret the meaning of the unit rate. In this case, the unit rate tells us that for every 1 mile on the map, it represents 0.3 inches in reality. This means that the smaller the number in the unit rate, the smaller the amount represented on the map. Hence, 0.3 inches represents a longer distance compared to a unit rate with a larger number, such as 1 inch representing 10 miles.