Question

Find the vertical and horizontal intercepts of s(t) s(t)=9000-600t

Answer 1

Part 1) The vertical intercept is the point (0,9,000)

Part 2) The horizontal intercept is the point (15,0)

Explanation:

we have

`s(t)=9,000-600t`

Let

s(t) ----> the dependent variable or output value (the y-coordinate)

t ---> the independent variable or input value (the y-coordinate)

Part 1) Find the vertical intercept

The vertical intercept is the value of s(t) when the value of t is equal to zero

so

For t=0

substitute in the linear equation

`s(t)=9,000-600(0)=9,000`

therefore

The vertical intercept is the point (0,9,000)

Part 2) Find the horizontal intercept

The horizontal intercept is the value of t when the value of s(t) is equal to zero

so

For s(t)=0

substitute in the linear equation

`0=9,000-600t\\t=9,000/600\\t=15`

therefore

The horizontal intercept is the point (15,0)