Question

the following table shows the distance from school as a function timetime in minutes. distance in metersx. 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 1

The Equation of the line turns out to be

`y=-(4)/(3)x+36`

And the x-intercept is the point (x, 0) and it is given by

`0=-(4)/(3)x+36`

which gives

`x=-27`

Hence, the x-intercept is (-27,0)

This means 27 seconds before departure the distance from the school is 0.

Putting this in another way, we can also say that 27 is the time it takes to reach the school; Hence, the correct option is the second one.