Q44. - Algebra 2

Question

A preprogrammed workout on a treadmill consists of intervals walking at various rates and angles of incline. A 1% incline means 1 unit of vertical rise for every 100 units of horizontal run.

If the treadmill bed is 40 inches long, what is the vertical rise when set at an 8% incline.

Step-by-Step Solution

Answer

The vertical rise is 3.2 inches.

Step 1. Given Information.

Given that a pre-programmed workout on a treadmill consists of intervals walking at various rates and angles of incline. A 1% incline means 1 unit of vertical rise for every 100 units of horizontal run.

The vertical rise is to be determined when the treadmill is set at an 8% incline and the treadmill is 40 inches long.

Step 2. Explanation .

The 8% incline means 8 units of vertical rise for every 100 units of horizontal run.

Here the horizontal run is 40 inches, so the ratio remains the same.

Plugging the values in the equation:

 $\begin{array}{l}\frac{8}{100}=\frac{x}{40}\\ x=\frac{320}{100}\\ x=3.2\end{array}$

Step 3. Conclusion .

Hence, the vertical rise is 3.2 inches.