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anonymous
 one year ago
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?
anonymous
 one year ago
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?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b[c(t)] = 915.2t b[c(t)] = 705.3t c[b(t)] = 915.2t c[b(t)] = 705.3t

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what level of math is this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to solve this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Teddyiswatshecallsme

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If c(t)=704t, then what does c equals?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, but what is it equals in terms of value(number)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes that is correct. And since b(c)=1.3c b is 1.3 also

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We would get 915.2t, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Using both of this, b[c(t)] =? c[b(t)] =? Tell me what you get.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes 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
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