Chicago Parking Secure Parking
Input Output Input Output
2 9 2 8
3 11 3 11
4 13 4 14
10 25 10 32
20 45 20 62
n 2*x + 5 n 3*x + 2
Question: When trying to park in downtown Chicago we are trying to decide between 2 options. Which company offers the better deal if you want to park for a short trip, and which one for a longer trip?
Chicago Parking charges a 5 dollar entry fee and then 2 dollars per hour
Secure Parking offers a 2 dollar entry fee and then a 3 dollars per hour rate.
Equations and Graphs: Compare the equations above. Let x= the number of hours and
Let y= total cost for parking
Chicago Parking (CP): y=2x +5. How? CP costs $2.00 per hour with a starting cost of $5.00. So, y (total cost) = 2 x (# of hours) + 5 (starting cost)
Secure Parking (SP): y=3x +2. How? SP costs $3.00 per hour, and its start up cost is $2.00. So, y (total cost)= 3 x (# of hours) + 2 (starting cost)
The picture above shows an example graph. This graph shows the equation y = 2x +3. We can see the start up cost would be 3 and then it would increase at a rate of $2.00 an hour.
Assignment:
A. Graph the equations using a graphing calculator from this website link: Holt Mc-Dougal's website
B. What is the "point of intersection" on the graph? This is where both companies have the same cost. we
C. Solve the equations using algebra to find the same answer. Solve the equation below to find x.
2x + 5 = 3x +2
D. Create your own problem. Start with 2 equations, or 2 companies that offer slightly different charges.
Share your questions and also some hints for solving the problem.
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