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.
The penny will fall 112 feet the fourth second, 144 feet the fifth second, and 176 feet the sixth second. Therefore, the penny will be a total of 576 feet from the cliff at six seconds.
