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Honi is looking at a map with a scale of 1 4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:

Step 1: Set up a proportion 1 4 20 = 2.5 x
Step 2: Cross multiply (20)(2.5) = ( 1 4 )(x)
Step 3: Simplify 50 = 1 4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?
A) Step 1
B) Step 2
C) Step 3
D) Step 4

User Igor Bukin
by
6.4k points

1 Answer

3 votes
the correct question is
Honi is looking at a map with a scale of 1/4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:

Step 1: Set up a proportion 1/4/20 = 2.5/ x
Step 2: Cross multiply (20)(2.5) = ( 1/4 )(x)
Step 3: Simplify 50 = 1/4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?

we have that
Step 1: Set up a proportion 1/4/20 = 2.5/ x ----------> is correct
Step 2: Cross multiply (20)(2.5) = ( 1/4 )(x) ----------> is correct
Step 3: Simplify 50 = 1/4 x --------------------------------> is correct

Step 4: Solve for x, x = 250 miles ------------> is not correct
because in the step 3 we have ----------> 50=(1/4)*x
x=50*4----------> x=200 miles

the answer the option D) Step 4

User Lurianne
by
6.0k points
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