Question

a 150 - pound person uses 5.7 calories per minute when walking at a speed of 4 mph. how long must a person walk at this speed to use at least 230 calories? a person must walk for at least minutes in order to use at least 230 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 - burn is 5.7 calories per minute and the total calories to be burned is at least 230. So the inequality is $5.7t\geq230$.

Step2: Solve for $t$

Divide both sides of the inequality by 5.7: $t\geq\frac{230}{5.7}$.

Step3: Calculate the value

$\frac{230}{5.7}\approx40.35$.

Step4: Round up

Since we need to round up to the nearest minute, $t = 41$.

Answer:

41