Q:

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 2C) Step 3 D) Step 4

Accepted Solution

A:
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