murraytiger2012
Jul 30, 2009, 10:45 AM
A car is traveling at a constant velocity. After two hours the car has traveled 110 miles. After four hours the car has traveled 220 miles. Assuming a linear equation fits this situation, find the linear equation for the given data.
Unknown008
Jul 30, 2009, 10:54 AM
You have all the required data, you can do it easily.
You have two points, well they are disguised.
I'll say let distance be y, and time be x.
x_1 = 2 and y_1 = 110
Those are the first pieces of information you are given, and you may represent them as (2, 110)
Then,
x_2 = 4 and y_2 = 220
Again, you have (4, 220)
You have two points, use the formula \frac{y_2-y_1}{x_2-x_1} = m to find the gradient m.
Then to have the equation, use:\frac{y-(y-coordinate)}{x-(x-coordinate)} = m
Hope it helped! :)