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

Answer 1

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

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.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find out how many calories Bart burns in a 3-hour kayaking trip, you can use the proportion method.

200 calories / 0.75 hour = x calories / 3 hours

Cross-multiply: 200 * 3 = 0.75 * x

Solve for x: 600 = 0.75x

Divide both sides by 0.75: x = 600 / 0.75 x = 800

Bart burns 800 calories in a 3-hour kayaking trip.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7