Question

1. A car leaves seattle heading east. The speed of the car in mph after m minutes is given by the function C(m). The function m(s) converts s seconds into m minutes. What does the function c(m(s)) do? Indentify the intput and output of the function in a complete sentence.

2. The fnction z= f(v) converts v mph into z ft/sec. What does the function z(C(m) do? Identify the input and output of the funtion in a complete sentence.

Answer 1

1. Speed of car after m minutes = C(m)

Convert minutes into seconds = m(s)

now, the function C(m(s)) - tells about speed of car in seconds -

Here m(s) is the input to C(m) - so, first m(s) will convert minute in second and then it will be input to C(m) - which will interpret as speed of car in second

2. z = f(v) - converts speed mph into z ft/sec.

now, the function z(C(m)) - tells about speed of car in ft/second

Here C(m) is the input to z - so, first C(m) will find speed in mph and then it will be input to z - which will interpret speed of car in ft/second