Question 540997
The intercepts refer to the places where the graph crosses the x-axis and y-axis.  Don't be fooled with t.  That variable, t, refers to values along the x-axis.<P>
To find the intercepts set the other variable = 0.<P>
x-axis - Set y=0.  What is y in the equation?  The function spits out the y value.  The function is called f(x), or in this case d(t).  That's the value to set to 0 to find the x-intercept.<P>
0=250-100t<P>
add 100t to both sides.<P>
100t = 250<P>
Divide both sides by 100<P>
t=2.5<P>
When t=2.5, the time remaining on the flight is 2.5 hours, the plane is 0 miles from the destination.  That doesn't make sense.<P>
Set t=0 to find the y-intercept.<P>
d(0)=250-100(0) = 250.<P>
The plane is 250 miles from its final destination when 0 time remains for the flight.<P>
This shows that the equation should be d(t) = 100(t)<P>
That way when t=0, when no time remains, the distance the plane is from the final destination is d(0)=100(0) = 0 miles.<P>
When the time remaining is 2.5 then t(2.5)=100(2.5)=250 miles from the destination.<P><B>If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr).  If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem).  Contact me at fcabanski@hotmail.com</B><P>