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?
b[c(t)] = 915.2t b[c(t)] = 705.3t c[b(t)] = 915.2t c[b(t)] = 705.3t
what level of math is this?
Algebra 1
hmm
Do you know how to solve this?
no im sorry
Oh okay
@Teddyiswatshecallsme
@Hero
@heretohelpalways
@Nnesha
:(
@freckles
If c(t)=704t, then what does c equals?
The calories burned
yes, but what is it equals in terms of value(number)
704
Yes that is correct. And since b(c)=1.3c b is 1.3 also
We would get 915.2t, right?
Using both of this, b[c(t)] =? c[b(t)] =? Tell me what you get.
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
Thank you!!
Yea, no problem!
Join our real-time social learning platform and learn together with your friends!