Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c (t) = 425t, where t is the number of hours spent boxing.

To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b (c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.

Which of the following composite functions expresses the calories, as a function of time, Leona burns while boxing with heavy gloves?

c[b (t) ] = 467.5t

c[b (t) ] = 426.1t

b[c (t) ] = 467.5t

b[c (t) ] = 426.1t

Question

Mathematics

Piper Valenzuela

20 November, 01:24

Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c (t) = 425t, where t is the number of hours spent boxing.

To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b (c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.

Which of the following composite functions expresses the calories, as a function of time, Leona burns while boxing with heavy gloves?

c[b (t) ] = 467.5t

c[b (t) ] = 426.1t

b[c (t) ] = 467.5t

b[c (t) ] = 426.1t

+1

Answers (1)

Know the Answer?

Jacoby Nicholson · Answer 1

The function for the number of calories burnt as a function of time is:

c (t) = 425 t

And for the number of calories burnt while boxing with gloves is:

b (c) = 1.1c

Therefore, the composite function that expresses the calories, as a function of time, Leon burns while boxing with heavy gloves is:

b[c (t) ] = 1.1 (425 t)

b[c (t) ] = 467.5 t

The answer is the third option