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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.

Respuesta :

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.
samuelonum1

The initial amount given is $10, this represents a constant

Now another friends is willing to give an amount which is not fixed, hence it is dependent on the amount if miles we walk

Let this variable amount be x

We have walks 5 miles in total

We have raid is 13.5 total amount

Therefore he expression to represent the total amount we have made is given as

10+5x= 13.50

Let us solve for x

subtract 10 from both sides we have

5x= 13.5-10

5x= 3.50

divide both sides by 5 we have

x = 3.5/5

x= 0.7

Hence our friend gives us $0.7 per mile

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