Question

So i have 2 questions

Write the equation of a line that goes through point (0, 1) and has a slope of 0.

x = 1
x = 0
y = 0
y = 1
Question 5

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 1

f of x equals negative one third x plus 5

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=(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-(x)/(3)=-(1)/(3)x+5`

This is the required function. It can be written as

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