The equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking is [tex]f(x) = -\frac{x}{18} + 2[/tex]
The x-intercept of the graph is at (0, 2) which shows that the distance traveled at the beginning is 2 miles
The y-intercept of the graph is at (36, 0) which shows that no distance was covered when at when the time is 36 minutes
The general equation that represents the graph is expressed as:
[tex]f(x) = 2 - sx[/tex]
s is the speed of Kaitlyn
The formula for calculating the speed is expressed as;
[tex]speed = \frac{distance}{time}[/tex]
The function required will become;
[tex]f(x) = 2 - \frac{d}{t}x\\[/tex]
Given the following parameters
distance "d" = 2 miles
Time "t" = 36 minutes
Substitute the given parameters into the function as shown:
[tex]f(x) = 2 - \frac{2}{36}x\\f(x) = 2 - \frac{1}{18}x\\f(x) = -\frac{x}{18} + 2[/tex]
Hence the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking is [tex]f(x) = -\frac{x}{18} + 2[/tex]
Get the y-intercept of the function:
If x = 0
[tex]f(x) = -\frac{0}{18} + 2\\f(x) = 2[/tex]
The y-intercept of the function is (0, 2)
Get the x-intercept of the function
[tex]0 = -\frac{x}{18} + 2\\-2 = -\frac{x}{18} \\x = 36[/tex]
Hence the x-intercept of the graph is expressed as (36, 0)
Learn more here; brainly.com/question/19859423
