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 y
Slope is y/x = 1/3
So the equation would be f(x) = 5 -1/3
Rearranging, this is first equation.
Answer:
f of x equals negative one third x plus 5
Step-by-step explanation:
We know that,
[tex]Speed =\frac{Distance}{Time}[/tex]
If for a student,
distance = 1 km, time = 3 minutes,
So, the speed of the student = [tex]\frac{1}{3}[/tex] km per min
Now, Distance = speed × time
Thus, the distance covered by students after x minutes = [tex]\frac{x}{3}[/tex] km,
∵ Total length of the race = 5 km,
Hence, the distance from the finish line after x minutes ( say f(x) ) = total length of the race - distance covered by students after x minutes
[tex]f(x)=5-\frac{1}{3}x[/tex]
