SOLUTION: Mary is certain that every time she parks in the parking lot it costs her $2.45. If the garage charges 45cents plus 25cents for each 1/2 hour, how long is she parked? The pr

Question 352449: Mary is certain that every time she parks in the parking lot it costs her $2.45. If the garage charges 45cents plus 25cents for each 1/2 hour, how long is she parked?
The problem does not state if the first hour is 45 cents and then every 1/2 is 25; so I am assuming it is 70cents per half hour. Is that correct? If so, I would say she was parked 3 1/2 hours. Is that correct?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let t = # of hours car is parked

Since "the garage charges 45cents plus 25cents for each 1/2 hour", this means that the garage initially charges 0.45 dollars (regardless of time parked) plus 0.5t dollars (since she's charged 50 cents an hour)

So the cost equation is

Since we're given that "it costs her $2.45", we know that .

Start with the given equation.

Plug in

Multiply EVERY term by 100 to make each number a whole number.

Subtract 45 from both sides.

Combine like terms.

Divide both sides by 50.

Reduce

So the solution is

This means that she parked her car for 4 hours.

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

Also, feel free to check out my tutoring website

Jim
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