Question

Grant set a goal of burning at least 435 calories during his workout at the gym. He knows he will burn 188.5 calories lifting weights and 7.25 calories every minute he runs on the elliptical machine.

Answer 1

The inequation for the situation described is:

$7.25\cdot m+188.5\ge435$

In the inequation above 7.25*m is the calories burned in the elliptical machine and 188.5 burned lifting weights.

Solving the inequation for m:

$\begin{gathered} 7.25\cdot m+188.5\ge435 \\ 7.25\cdot m\ge435-188.5=246.5 \\ m\ge\frac{246.5}{7.25} \\ m\ge34 \end{gathered}$

So, Grant have to run at least 34 minutes to fullfill his goal