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?

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