Question

You burn 35 calories every 3 minutes running on a treadmill. You want to run for at least 15 minutes, but no more than 30 minutes. What are the possible numbers of calories that you will burn?

Answer 1

The possible numbers of calories that we will burn are 175 and 350 calories, respectively.

Explanation:

From statement we know that 35 calories are burnt every 3 minutes while running on a treadmill. The total amount of calories burnt (
`C`) as a function of time is:

`C = c\cdot \Delta t`

Where:

`c` - Calories burn rate, measured in calories per minute.

`\Delta t` - Time, measured in minutes.

Now, we get the calories burn rate as follows:

`c = (35\,cal)/(3\,min)`

`c\approx 11.667\,(cal)/(min)`

And minimum and maximum amounts of calories are:

Minimum amount (
`t = 15\,min`)

`C = \left(11.667\,(cal)/(min) \right)\cdot (15\,min)`

`C = 175.005\,cal`

Maximum amount (
`t = 30\,min`)

`C = \left(11.667\,(cal)/(min) \right)\cdot (30\,min)`

`C = 350.010\,cal`

The possible numbers of calories that we will burn are 175 and 350 calories, respectively.