Bart burns 200 calories in 0.75 hour of kayaking. How many calories does he burn in a 3-hour kayaking trip?

1 Answer
VNVDVI
Mar 4, 2018

Bart burns #800# calories in his three-hour trip.

Explanation:

Bart burns #200# calories in #0.75,# or #3/4,# hours.

Let's simplify this ratio of #200:3/4# so we can see how many calories Bart burns in one hour. This will require multiplying both sides of the ratio by #4/3:#

#200(4/3):(cancel3)/(cancel4)*cancel(4)/cancel(3)#

We end up with #800/3:1#, meaning that every hour, #800/3# calories are burned.

We now need an equation.

Let's denote the calories Bart burns by #C.#

Furthermore, let's denote hours kayaked by #h.#

#C=800/3h# where #h#

Plugging in #3# for #h,# we get

#C=(800/cancel3)(cancel3)=800#

Bart burns #800# calories in his three-hour trip.

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