Q35. - Algebra 1

Question

If 4.5 kilomaters is about 2.8 miles, about how many miles is 6.1 kilometers?

A. 3.2 miles

B. 3.6 miles

C. 3.8 miles

D. 4.0 miles

Step-by-Step Solution

Answer

6.1 kilometers is about 3.8 miles.

Step 1. State the concept of mile and kilometer.

A mile and a kilometer are both units of length or distance. Kilometers are used in the metric system and each one is about 6/10 of a mile, which is used in the US standard system of measurement.

A mile is longer than a kilometer. One mile is equal to 1.609 kilometers.

Step 2. State the concept for linear equation.

The linear equations in one variable is an equation which is expressed in the form of, where a and b are two integers, and x is a variable and has only one solution.

Step 3. Form the equation.

Let number of miles in 6.1 kilometers be x.

Since, 4.5 kilometers is about 2.58 miles.

Therefore, the proportion is obtained as:

$\frac{4.5}{6.1}=\frac{2.8}{x}$

Step 4. Solve the equation.

The equation can be solved as follows:

$\begin{array}{c}\frac{4.5}{6.1}=\frac{2.8}{x}\\ 4.5x=6.1\times 2.8\\ 4.5x=17.08\\ x=\frac{17.08}{4.5}\\ x=3.8\end{array}$