Question

6 Rebecca burns an average of 210 calories in 35 minutes of ballet.Part AHow many calories does Rebecca burn per minute?Show your work.Rebecca burns 6calories per minute.Part BWhich equation models burns in m minutes?A 210c =35mB 35m = cC 6c = mD c = 6mPart CDoes Rebecca burn more than400 calories per hour? Explain.

Answer 1

We can solve the Part A of the question using the concept of unit ratio. In this case, we need to divide 210 calories by 35 minutes to find the calories that Rebecca burns each minute. Then, we have:

`\frac{210\text{cal}}{35\min}=6\frac{\text{cal}}{\min }`

Then, Rebecca burns 6 calories per minute.

In the second part, of the question, we can see that the equation that model the situation is:

`(210c)/(35m)=6(c)/(m)=\text{slope}`

In this case, we have the slope of the line. Since this is a linear relationship, we have then that the number of calories depends on the time exercising, and this relationship can be expressed as follows:

`y=6x\Rightarrow C=6m`

Where C is the number of calories and m in the minutes exercising.

Therefore, the equation is C = 6* m

In the Third Part, we have that:

`(210c)/(35m)=(x)/(60m)\Rightarrow x=(210\cdot60)/(35)\Rightarrow x=360`

Having into account the proportion, we have that Rebbeca burns 360 calories in 60 minutes (one hour) (not 400 calories).