You can jog at a constant speed of 6 km/h.  If you can burn 1200 calories per 1800 m, find how many calories you can burn jogging for 1.5 hours.The question asks to find a composite function first...

You can jog at a constant speed of 6 km/h.  If you can burn 1200 calories per 1800 m, find how many calories you can burn jogging for 1.5 hours.

The question asks to find a composite function first before solving.

Expert Answers
hala718 eNotes educator| Certified Educator

Let the speed be S = 6 kn/h

Then, we need to calculate the distance we can jog in 1.5 hours.

==> Let the time be T = 1.5

==> Let the distance be D km.

==> S = D/T

==> D = S*T = 6*1.5 = 9 km

Then the distance is 9 km

We know that 1 km = 1000 m

==> 9 km = 9000 m

We can burn 1200 cal per 1800 m

==> We will burn X cal per 9000 m

==> X = 1200 * 9000/ 1800

            = 6000 cal.

Then, we will burn 6000 cal after 1.5 hours of jogging.

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