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?

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MrRoyal MrRoyal · Answer 1 · 2021-05-08T04:14:25+02:00

Answer:

[tex]w(s(t)) = \frac{1.392975}{t}[/tex]

Step-by-step explanation:

Given

[tex]s(t) = \frac{1.359}{t}[/tex] --- San Diego to Dallas

[tex]w(s) = 1.025s[/tex] ---- Increment in average speed

Required

A function that represents the increased speed from hours

This implies that, we calculate the composite function

[tex]w(s(t))[/tex]

We have:

[tex]w(s) = 1.025s[/tex]

This gives:

[tex]w(s(t)) = 1.025s(t)[/tex]

Substitute: [tex]s(t) = \frac{1.359}{t}[/tex]

[tex]w(s(t)) = 1.025 * \frac{1.359}{t}[/tex]

Rewrite as:

[tex]w(s(t)) = \frac{1.025 * 1.359}{t}[/tex]

[tex]w(s(t)) = \frac{1.392975}{t}[/tex]

692921 692921 · Answer 2 · 2022-05-17T18:23:55+02:00

Answer:

c

Step-by-step explanation:

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