Question

a 150 - pound person uses 6.7 calories per minute when walking at a speed of 4 mph. how long must a person walk at this speed to use at least 210 calories? a person must walk for at least in order to use at least 210 calories. (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 - burning is 6.7 calories per minute and the total calories to be burned is 210. The equation is $6.7t\geq210$.

Step2: Solve for $t$

Divide both sides of the inequality by 6.7: $t\geq\frac{210}{6.7}\approx31.34$.

Step3: Round up

Since we need to round up to the nearest minute, $t = 32$.

Answer:

32