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A jogger burned 96 calories during 8 minutes of jogging. At that rate, how

many calories would be burned during 14 minutes of jogging?

User FunThomas
by
6.6k points

1 Answer

6 votes

Solving Proportions

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:


  • \frac{4\hspace{3}stars}{8\hspace{3}hearts}=\frac{6\hspace{3}stars}{x\hspace{3}hearts}

⇒ In this example, we are solving for x.

Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:


\frac{4\hspace{3}stars}{8\hspace{3}hearts}=\frac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8

Solving the Question

We're given:

  • 8 minutes of jogging = 96 calories burned
  • 14 minutes of jogging = ? calories burned

Set up a proportion:


\frac{8\hspace{3}minutes}{96\hspace{3}calories}= \frac{14\hspace{3}minutes}{x\hspace{3}calories}

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:


8x=14*96\\8x=1344\\x=168

Answer

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.

User Oleksii Zymovets
by
6.4k points
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