SOLUTION: Omar is driving to Las Vegas. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Omar has 66 miles to his destinat

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Omar is driving to Las Vegas. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Omar has 66 miles to his destinat      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1141795: Omar is driving to Las Vegas. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Omar has 66 miles to his destination after 20 minutes of driving, and he has 50.7 miles to his destination after 38 minutes of driving. How many miles will he have to his destination after 48 minutes of driving?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
----
distance to his destination (in miles) is a linear function of his total driving time (in minutes).
----

x, total driving time
y, distance to destination
points (x,y)

----
66 miles to his destination after 20 minutes of driving, and he has 50.7 miles to his destination after 38 minutes of driving.
----

points are (20, 66) and (38, 50.7).

----------------
How many miles will he have to his destination after 48 minutes of driving?
----------------

Find equation for the line using the two described points. Let x=48 and solve for corresponding value of y.