SOLUTION: Please help me with this word problem. I understand that a linear equation is Ax + By + C = 0, but I don't understand how to do the following; It is approximately 480 miles fr

Algebra ->  Equations -> SOLUTION: Please help me with this word problem. I understand that a linear equation is Ax + By + C = 0, but I don't understand how to do the following; It is approximately 480 miles fr      Log On


   



Question 77718: Please help me with this word problem. I understand that a linear equation is
Ax + By + C = 0, but I don't understand how to do the following;
It is approximately 480 miles from Los Angeles, CA to San Francisco, CA/ Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
how far have you travled after t hours (i.e., write a linear function that expresses the distance traveled, d, as a function of time, t).

How far will you have left you reach San Francisco after you have traveled t hours (i.e., write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t).

Answer by renevencer22(21) About Me  (Show Source):
You can put this solution on YOUR website!
Ax + By + C = 0, is a general equation of linear equation (meaning straight line)
A, B, & C are constant coefficient
x & y are variables for which y = f(x) most of the cases

write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t:

s = vt , is simplest possible linear function; that is y is s and t is is x
if s = 480 mi from Los Angeles, CA to San Francisco, CA
v = 60 mph average approximately
then t = 8 h time required to reach San Francisco, that is t = s/v

note: if you consider accelaration, it's no longer linear in function of time