SOLUTION: a taxicab ride that is 2 miles long cost $7. One that is 9 miles long cost $24.50. Write an equation relating cost to length of ride.

Question 108745: a taxicab ride that is 2 miles long cost $7. One that is 9 miles long cost $24.50. Write an equation relating cost to length of ride.
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Let x=the x-coordinate
____y=the y-coordinate

Here, I want the x-coordinate to be the no. of miles and the y-coordinate to be the price. So, the points are (,) , (,)

Let's find the slope

slope====
Now, let's use the slope-intercept form where m=slope and b=y-intercept
m=2.5 but b is unknown. So, let's use (2,7) for x=2 and y=7

Thus, the equation is

Which is interpreted as "the price is calculated by multiplying the no. of miles by 2.5 and by adding 2 to the result"
Graph:

Power up,
HyperBrain!

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