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 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

Answer:[tex]f(x)=-\frac{1}{3}x+5[/tex]Step-by-step explanation:The functions given are:1. [tex]f(x)=-\frac{1}{3}x+5[/tex]2. [tex]f(x)=-\frac{1}{5}x+3[/tex]3. [tex]f(x)=\frac{1}{5}x+5[/tex]4. [tex]f(x)=\frac{1}{3}x+3[/tex]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 ySlope is y/x = 1/3So the equation would be f(x) = 5 -1/3Rearranging, this is first equation.