anonymous
  • anonymous
David tracks his calories burned while training for a meet. The number of calories he burns is expressed by the function c(t) = 704t, where t is the number of hours spent swimming. To burn more calories, David wears flippers while he swims. The number of calories he burns while wearing flippers is expressed by the function b(c) = 1.3c, where c is the number of calories burned while swimming without flippers. Which of the following composite functions expresses the calories, as a function of time, David burns while swimming with flippers?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
b[c(t)] = 915.2t b[c(t)] = 705.3t c[b(t)] = 915.2t c[b(t)] = 705.3t
anonymous
  • anonymous
what level of math is this?
anonymous
  • anonymous
Algebra 1

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anonymous
  • anonymous
hmm
anonymous
  • anonymous
Do you know how to solve this?
anonymous
  • anonymous
no im sorry
anonymous
  • anonymous
Oh okay
anonymous
  • anonymous
@Teddyiswatshecallsme
anonymous
  • anonymous
@Hero
anonymous
  • anonymous
@heretohelpalways
anonymous
  • anonymous
@Nnesha
anonymous
  • anonymous
:(
anonymous
  • anonymous
@freckles
anonymous
  • anonymous
If c(t)=704t, then what does c equals?
anonymous
  • anonymous
The calories burned
anonymous
  • anonymous
yes, but what is it equals in terms of value(number)
anonymous
  • anonymous
704
anonymous
  • anonymous
Yes that is correct. And since b(c)=1.3c b is 1.3 also
anonymous
  • anonymous
We would get 915.2t, right?
anonymous
  • anonymous
Using both of this, b[c(t)] =? c[b(t)] =? Tell me what you get.
anonymous
  • anonymous
Yes 915.2t Since it says calories as function of time, it means calories and time are related and depend on each other. c(t)=704t, so the more time, the more calories burnt, therefore it is b[c(t)]=915.2t
anonymous
  • anonymous
Thank you!!
anonymous
  • anonymous
Yea, no problem!

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