SOLUTION: a taxi begins a fare with inital charge of $2 on the meter and charges 20 cents per one-tenth a mile. how much will a 10-mile journey cost?

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Question 526618: a taxi begins a fare with inital charge of $2 on the meter and charges 20 cents per one-tenth a mile. how much will a 10-mile journey cost?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

If it's 20 cents per one-tenth of a mile, then it's 200 cents per mile (multiply both quantities by 10)

So it's really $2 per mile.

So if you drive x miles, then the variable cost is 2x dollars.

Add this to the fixed cost to get 2x+2

So the total fare for driving x miles is 2x+2 dollars.

This means that the cost equation is

c = 2x+2

Now if you drive 10 miles, then x = 10 and

c = 2x+2

c = 2(10)+2

c = 20+2

c = 22

which means that a 10 mile journey will cost 22 dollars.

If you need more help, email me at jim_thompson5910@hotmail.com

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Jim