Answer :
STEP - BY - STEP EXPLANATION
What to do?
Interpret the x- and y- intercepts in terms of the problem.
Given:
The altitude of a car (y) as a driver descends a mountain is shown by the equation;
y=-250x+1500
Y- Intercept
The y-intercept can be obtain by putting x=0 into the equation.
So that we have;
[tex]\begin{gathered} y=-250x+1500 \\ y=-250(0)+1500 \\ \\ y=1500 \end{gathered}[/tex]This means that initially the driver was at 1500ft which is the highest point on the mountain that the driver has been before he began descending.
X- Intercept
The x- intercept can be obtain by substituting y=0 and into the equation and solving for x.
[tex]\begin{gathered} 0=-250x+1500 \\ \\ 250x=1500 \\ \\ x=6 \end{gathered}[/tex]This means to descend the whole mountain, the driver will take 6 hours.
ANSWER
The y-intercepts shows that the highest point the driver was at was 1500ft and the x-intercept shows that it took 6 hours to descend the whole mountain.
