One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount y of money you have raised after x miles.

Question

Colt Villarreal

Mathematics

27 April, 12:23

One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount y of money you have raised after x miles.

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Dorian Carter · Answer 1

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.