Question

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

Answer 1

Answer: $b[c(t)] = 915.2t$

Step-by-step explanation:

Given : 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.

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.

The composite functions expresses the calories, as a function of time, David burns while swimming with flippers will be :-

$b(c(t))=1.3(704t)=915.2t$