Question

Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually plans to stop and rest for about 15 minutes.

Complete the equation below to find the total number of minutes (including rest) that Spencer should plan to be out biking. Use m to represent the total minutes.

Answer 1

The equation to find the total number of minutes (including rest) that Spencer should plan to be out biking is
`10(m-15)=450`.

Spencer should plan for 60 minutes to be out biking.

Explanation:

Given:

Total calories need to burn = 450 calories

Calories burn per minute = 10

number of minutes he rest = 15

We need to find the total number of minutes (including rest) that Spencer should plan to be out biking.

Solution:

Let Total minutes of biking be 'm'.

So we can say that.

Calories burn per minute multiplied by the difference of total minutes and number of minutes he rest is equal to Total calories need to burn.

framing in equation form we get;

`10(m-15)=450`

Hence the equation to find the total number of minutes (including rest) that Spencer should plan to be out biking is
`10(m-15)=450`.

On Solving the above equation we get;

First we will divide both side by 10 we get;

`(10(m-15))/(10)=(450)/(10)\\\\m-15=45`

Now adding both side by 15 we get;

`m-15+15=45+15\\\\m=60\ minutes`

Hence Spencer should plan for 60 minutes to be out biking.