Question

Emma burns 350 calories per hour biking. This can be represented with the function c(h) = 350h, where h is the number of hours spent biking. Her mother asked her to tow her little sister in the bike trailer, which causes her to burn twice as many calories. This can be represented by the function t(c) = 2c, where c is the number of calories burned per hour. Write a function that will help Emma calculate the number of calories she will burn per hour while biking with her sister in the bike trailer.


c[t(c)] = 175c
t[c(h)] = 175h
c[t(c)] = 700c
t[c(h)] = 700h

Answer 1

Answer:

t[c(h)] = 700h

Step-by-step explanation:

Got it wrong, and it told me what was right lol

Answer 2

Answer:

The function is given by:

                            t[c(h)] = 700h

Step-by-step explanation:

Emma burns 350 calories per hour biking.

The function is given by:

                 c(h) = 350h.

Also, when her little sister tow in the bike then the she  burn twice as many calories.

This could be represented by the function:

                             t(c) = 2c

where c is the number of calories burned per hour.

Now, we are asked to find the function that calculate he number of calories she will burn per hour while biking with her sister in the bike trailer i.e. we are asked to find the composition function:

$t(c(h))$

Hence, we have:

$t(c(h))=t(350h)\\\\i.e.\\\\t(c(h))=2(350h)\\\\i.e.\\\\t(c(h))=700h$