One of your friends gives you $10 for a charity walkathon -- this is your beginning amount. Another friend gives you an amount per mile -- you will to calculate this value. After 5 miles, you have raised $13.50 total -- -- Since one friend gave you $10.00, subtract this from the $13.50 to give you the amount by walking the 5 miles -- $10.00 - $13.50 = $3.50 -- Since you walked 5 miles, divide $3.50 by 5 to give you $0.70 per mile earned.
So, an equation that represents the amount of money earned is: y = $0.70x+$10.00. This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
This only happens when the ordinary ratio is greater than one, the terms of the sequence will get bigger and bigger, and if you add larger numbers you won't get a definitive answer.
