Question

a 150 - pound person uses 6.2 calories per minute when walking at a speed of 4 mph. how long must a person walk at this speed to use at least 200 calories? a person must walk for at least (round up to the nearest minute.)

Explanation:

Step1: Set up the equation

Let $t$ be the time in minutes. We know the rate of calorie - burn is 6.2 calories per minute and the total calories to be burned is at least 200. So the equation is $6.2t\geq200$.

Step2: Solve for $t$

Divide both sides of the inequality by 6.2: $t\geq\frac{200}{6.2}\approx32.26$.

Step3: Round up

Since we need to round up to the nearest minute, and $32.26$ rounds up to 33.

Answer:

33