Unit 6, Investigation 2 Problems Focus Question: What are the advantages and disadvantages of using one equation rather than two or more equations to represent a situation?

Student NameNumber of Sponsors Pledge Leanne16$10, regardless of how far she walks Gilberto7$2 per kilometer Alana11$5 plus $0.50 per kilometer How much will they make if they walk 2 kilometers? 10? How could you calculate the total amount of money the three students will collect? Focus Question: What are the advantages and disadvantages of using one equation rather than two or more equations to represent a situation?

 Answer #1-3 on your worksheet.  As you answer the questions, think about:  How much will Leanne, Gilberto, and Alana raise per kilometer from each of his or her sponsors?  How many sponsors do Leanne, Gilberto, or Alana have?  So, how much will she or he raise for walking x kilometers? Focus Question: What are the advantages and disadvantages of using one equation rather than two or more equations to represent a situation?

Student NameNumber of Sponsors PledgeEquation Leanne16$10, regardless of how far she walks Gilberto7$2 per kilometer Alana11$5 plus $0.50 per kilometer Write an equation for the total amount of money the three-person team will raise for walking x kilometers:

Focus Question: What are the advantages and disadvantages of using one equation rather than two or more equations to represent a situation?

Read the problem:  What are the most important points?  What information do the numbers and variables represent in this situation? Focus Question: What are some ways that you can combine one or more expressions (or equations) to create a new expression (or equation)?

#3: Suppose the probability of rain is 25%. What profit can the concession stand expect? Focus Question: What are some ways that you can combine one or more expressions (or equations) to create a new expression (or equation)? #4: What is the probability of rain if the profit expected is $625? Explain your reasoning.

 Write an equation you can use to predict the concession-stand profit P based on the probability of rain R: Focus Question: What are some ways that you can combine one or more expressions (or equations) to create a new expression (or equation)? Use your equation to predict profit when the probability of rain is 25%. Write an equivalent expression for the profit above. Explain why the two expressions are equivalent.

 What probability of rain predicts a profit of $625? Focus Question: What are some ways that you can combine one or more expressions (or equations) to create a new expression (or equation)?  Predict the profit when the probability of rain is 0%:  Predict the profit when the probability of rain is 100%:

 Do the equations represent a linear or nonlinear function? Explain.  Now, let’s answer the focus question: What are some ways that you can combine one or more expressions (or equations) to create a new expression (or equation)? Focus Question: What are some ways that you can combine one or more expressions (or equations) to create a new expression (or equation)?