Question

The student in Mr. Sanchez's class are converted distances measured in miles to estimate the number of kilometers. Abby takes the number of miles doubles it, then subtracts 20% of the result to create the expression, 2m– 0.2(2m).

Answer 1

The student's task is to create an expression for converting miles to kilometers in Mathematics at the Middle School level. The expression '2m - 0.2(2m)' provided by Abby simplifies to '1.6m', serving as an estimate for converting miles to kilometers.

Step-by-step explanation:

The student's question involves creating an expression to estimate the number of kilometers based on a given number of miles, which falls into the category of Mathematics. To address Abby's method for converting miles to kilometers, where she takes the number of miles (m), doubles it, and then subtracts 20% of the resulting value, we can simplify Abby's expression: 2m - 0.2(2m). This simplifies to 2m - 0.4m = 1.6m.

To provide an example, if Abby starts with 5 miles, we could use her expression to estimate the distance in kilometers: 1.6 * 5 = 8 kilometers. It is important to note that, although Abby's method offers an estimation, the precise conversion factor from miles to kilometers is 1 mile equals 1.60934 kilometers. Therefore, a more accurate conversion of 5 miles would be approximately 5 * 1.60934 = 8.0467 kilometers.