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?

Question

Gaige Beck

Mathematics

28 February, 06:40

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?

+1

Answers (1)

Know the Answer?

Elizabeth Holloway · Answer 1

To find for the composite function of calories burned while swimming flippers using the two given functions, all we have to do is to plug in the function of c (t) to the function b (c). By doing this combination, we can create a function in the form of b [c (t) ].

We are given the 2 functions:

c (t) = 704 t

b (c) = 1.3 c

To solve this, just simply combine the 2 but combine c (t) to b (c) since we are looking for the composite function of calories burned while swimming with flippers. Not b (c) to c (t).

b [c (t) ] = 1.3 (704 t)

b [c (t) ] = 915.2 t

Answer:

b [c (t) ] = 915.2 t