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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! :)