Question

A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes. f of x equals one fourth x plus 4 f of x equals negative one tenth x plus 4 f of x equals one tenth x plus 10 f of x equals negative one fourth x plus 10

Answer 1

Answer:I think its D i'm not too sure tho

Answer 2

Option 4 -
`y=-(1)/(4)x+10`

Explanation:

Given : A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes.

To find : Select the function that describes his distance from the finish line after x minutes ?

Solution :

Let the equation of line describing function is
`y=mx+c` .....(1)

Where, y represents the distance in kilometer and x represents the time in minutes.

A student is running a 10-kilometer race,

⇒ y(0) = b = 10 km

It is also given that he runs 1 kilometer every 4 minutes.

Each passing minute the student is getting closer and closer to the finish line which was 10 kilometers away when the race started.

The distance between the student and the finish line will decrease.

So,
`m =-(1)/(4)`

Substitute these in (1),

`y=-(1)/(4)x+10`

Therefore, the function that describes his distance from the finish line is,
`y=-(1)/(4)x+10`

So, Option 4 is correct.