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The average cost (in dollars) per mile for riding x miles in a cab is c(x)=2.5+2x/x. As x gets larger and larger, what does the end behavior of the function tell you about the situation?

The average cost in dollars per mile for riding x miles in a cab is cx252xx As x gets larger and larger what does the end behavior of the function tell you abou class=


Answer :

ANSWER:

The average cost per mile decreases

STEP-BY-STEP EXPLANATION:

We have the following function:

[tex]C\mleft(x\mright)=\frac{2.5+2x}{x}[/tex]

If we give value to x, we obtain the following:

[tex]\begin{gathered} c(10)=\frac{2.5+2\cdot10}{10}=2.25 \\ c(50)=\frac{2.5+2\cdot50}{50}=2.05 \\ c(100)=\frac{2.5+2\cdot100}{100}=2.025 \\ c(200)=\frac{2.5+2\cdot200}{200}=2.0125 \end{gathered}[/tex]

We can see that it is evident that as x increases, c (x) decreases. Depending on the situation, if we travel more miles, the average cost per mile decreases.

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