Answer:
Part 1) The vertical intercept is the point (0,9,000)
Part 2) The horizontal intercept is the point (15,0)
Step-by-step explanation:
we have
[tex]s(t)=9,000-600t[/tex]
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
[tex]s(t)=9,000-600(0)=9,000[/tex]
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
[tex]0=9,000-600t\\t=9,000/600\\t=15[/tex]
therefore
The horizontal intercept is the point (15,0)
