Question

An airplane’s average speed from San Diego to Dallas can be calculated using the function where t is the number of hours of travel. When there are tailwinds, the increased speed can be calculated using the function

w(s) = fs, where f is the percent increase as a decimal. On a given day, the tailwinds caused the average speed to increase by 2.5%, or w(s) = 1.025s.


Which function can be used to find the increased speed depending on the number of hours traveled?

Answer 1

c

Explanation:

Answer 2

`w(s(t)) = (1.392975)/(t)`

Explanation:

Given

`s(t) = (1.359)/(t)` --- San Diego to Dallas

`w(s) = 1.025s` ---- Increment in average speed

Required

A function that represents the increased speed from hours

This implies that, we calculate the composite function

`w(s(t))`

We have:

`w(s) = 1.025s`

This gives:

`w(s(t)) = 1.025s(t)`

Substitute:
`s(t) = (1.359)/(t)`

`w(s(t)) = 1.025 * (1.359)/(t)`

Rewrite as:

`w(s(t)) = (1.025 * 1.359)/(t)`

`w(s(t)) = (1.392975)/(t)`