ammyholcomb
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A student is running a 5-kilometer race. He runs 1 kilometer every 3 minutes. Select the function that describes his distance from the finish line after x minutes.

f(x) = − 1 over 3 x + 5
f(x) = − 1 over 5 x + 3
f(x) = 1 over 5 x + 5
f(x) = 1 over 3 x + 3

Respuesta :

-1/5x+3 because u have ran -1 out of 5 kilometers

Answer:  The correct option is

(D) [tex]f(x)=\dfrac{1}{3}x+5.[/tex]

Step-by-step explanation:  Given that a student is running a 5-kilometer race. He runs 1 kilometer every 3 minutes.

We are to select the function that describes his distance from the finish line after x minutes.

When the student reaches the finish line, he already covered a distance of 5 kilometers.

Now, in 3 minutes, distance covered by the student = 1 kilometer.

So, in 1 minute, distance covered by the student is given by

[tex]\dfrac{1}{3}~\textup{kilometer}.[/tex]

Therefore, in x minutes, the distance covered by the student is

[tex]\dfrac{1}{3}x~\textup{kilometer}.[/tex]

That is, the total distance from the finish line after x minutes is given by

[tex]f(x)=\dfrac{1}{3}x+5.[/tex]

Thus, option (D) is CORRECT.