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