Wacky+Water+World

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 * Wacky Water World**

**Learning Intentions**
- to understand and graph linear equations - to make predictions based on current knowledge - to interpret data

**Procedural Knowledge**
y = mx + b Graphing Linear Equations Make Predictions

**Processes**
Problem Solving Reasoning Communication Connections Representation

**Problem**
It is Saturday and the new water theme park has just opened. You and your friends are making plans to attend. You check the plans at the ticket counter, and since you have a limited amount of money, you want the best buy.

Students work individually or in pairs

**Procedure**
Study the two plans below and then decide which plan you will recommend to your friends. Plan A $ 5.00 admission $ 1.00 per ride

Plan B $ 10.00 admission $ .50 per ride

Which plan will you recommend? _ Why? (be specific and write complete sentences)

Calculate the total cost under both plans for riding 0, 1, 2, 3, 4, 5, and 6 rides. Do this without a calculator. Describe how to find the total cost of going under Plan A and riding any number of rides. The total cost will equal plus times the number of rides. Describe how to find the cost using symbols only! Use Y to equal the total cost and X to equal the number of rides. Y = _ + _X
 * **Plan A** ||  || **Plan B** ||   ||
 * **Rides** || **Total Cost** || **Rides** || **Total Cost** ||
 * 0 ||  || 0 ||   ||
 * 1 ||  || 1 ||   ||
 * 2 ||  || 2 ||   ||
 * 3 ||  || 3 ||   ||
 * 4 ||  || 4 ||   ||
 * 5 ||  || 5 ||   ||
 * 6 ||  || 6 ||   ||

Describe how to find the total cost of going under Plan B and riding any number of rides. The total cost will equal plus times the number of rides. Describe how to find the cost using symbols only! Use Y to equal the total cost and X to equal the number of rides. Y = _ + _X


 * 1) If I ride 9 rides under Plan A, it will cost.
 * 2) If I ride 9 rides under Plan B, it will cost.
 * 3) If I ride 30 rides under Plan A, it will cost.
 * 4) If I ride 30 rides under Plan B, it will cost.
 * 5) If I spent $15 under plan A, how many rides did I ride?
 * 6) If I spent $20 under plan B, how many rides did I ride?
 * 7) When would it cost the same under both plans?
 * 8) When would it cost more under Plan A?
 * 9) When would it cost less under Plan A?
 * 10) Predict the outcomes of the following situations:
 * 11) a plan that has no admission price and each ride is $3.00
 * 12) a plan that has $25 admission price and no charge for the rides
 * 13) a plan that has $5 admission price for 3 free rides, then $1 for each additional ride