Question

So i have 2 questions

Answer 1

Answer:

f of x equals negative one third x plus 5

Step-by-step explanation:

Question 1

We know the line contains the point (a,b)=(0,1) and has a slope m=0

We can find the equation of a line knowing both parameters by using

y-b=m(x-a)

y-1=0(x-0)

This is the required equation of the line

y=1

Question 2

The student is running a 5-Km race. Les's set x as the time in minutes. 3 minutes are needed to complete one Kilometer, so every single minute will be enough to run 1/3 Km. Every x minutes, the distance will be

$D=\frac{x}{3}$

Since the runner needs to complete 5 Km in total, the distance still to complete will be

$f(x)=5-D$

$f(x)=5-\frac{x}{3}=-\frac{1}{3}x+5$

This is the required function. It can be written as

"f of x equals negative one third x plus 5"