the following table shows the distance from school as a function timetime in minutes. distance in meters x. f(x)0 363 326 289 24 12 20find and intercept the meaning of the x intercept in this scenario36,0 the distance away from the school27,0 the time it takes to reach the school36,0 the time it takes to reach the school27,0 the distance away from the school​

Answer:27,0 the distance away from the school​Step-by-step explanation:Apply the formula for equation of a straight line;y=mx+c where c is the y intercept , and m is the gradientFrom the graph, the slope is negative where speed decreases with increase in timeFind the gradient by applying the formula;[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Taking y₁=24, y₂=20, x₁=9, x₂=12Then;[tex]m=\frac{20-24}{12-9} =\frac{-4}{3}[/tex]write the equation of the function as ;y=mx+c, c=36( the y-intercept when x=0) hence the equation is;[tex]y=mx+c\\\\y=\frac{-4}{3}x+36[/tex]To get x-intercept, substitute value of y with 0[tex]y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27[/tex]This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.