Astudent 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 of x equals negative one third x plus 5 f of x equals negative one fifth x plus 3 f of x equals one fifth x plus 5 f of x equals one third x plus 3

Step-by-step explanation:

The functions given are:

1.

2.

3.

4.

Since,

x is minutes and f(x) is kilometers.

Since we want distance from finish line, we know it will decrease from 5.

Since 1 km every 3 minutes, the slope of the line would be

change in 3 in x and change in 1 in y

Slope is y/x = 1/3

So the equation would be f(x) = 5 -1/3

Rearranging, this is first equation.

15

step-by-step explanation: