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Sagot :
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]
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