Question

A student is running a 3-kilometer race. He runs 1 kilometer every 2 minutes. Select the function that describes his distance from the finish line after x minutes. f(x) = − 1 over 3x + 2 f(x) = − 1 over 2x + 3 f(x) = 1 over 2x + 3 f(x) = 1 over 3x + 2

Answer 1

We have been given that the student runs 1 kilometer every 2 minutes. Therefore, the velocity of the student is given by
`(1)/(2) \text{ km/min}`

We know the formula

`\text{Velocity}=\frac{\text{Distance}}{\text{Time}}`

Thus, the distance traveled after x minutes is given by
`(1)/(2)x`

Therefore, the distance traveled from the finish line is given by

`f(x)=3-(1)/(2) x\\ \\ f(x)=-(1)/(2) x+3`

Therefore, second option is correct.