CC Coordinate Algebra Unit 3 – Linear and Exponential EquationsDay 37
Name: ______Date: ______
Linear and Exponential Stories
Mario and Luigi both want you to come and drive Go-Karts for their team. They will pay you in gold coins. Each one makes an offer:
Mario: I will give you 3 gold coins on the first day. Then, every day after that, I will pay you 3 times as much as I paid you the day before.
Luigi: I will give you 3 gold coins on the first day. Then, every day after that, I will pay you 20 more coins than I paid you the day before.
Who would you rather work for? Use the table below to help you decide.
Mario’s Deal / Daily Wage / Luigi’s Deal / Daily WageMonday / Monday
Tuesday / Tuesday
Wednesday / Wednesday
Thursday / Thursday
Friday / Friday
Total Earnings / Total Earnings
1)Whom would you rather work for? ______
Why? ______
2)Does the deal represent a linear or exponential function? Explain why.
Mario______
Luigi ______
3)Why does Mario’s deal eventually become better than Luigi’s deal?
4)Write a recursive function to represent each function.
Mario’s Deal / Luigi’s Deal5)Write an explicit function to represent each function.
Mario’s Deal / Luigi’s DealYou are staying at a hotel that has a hot tub. The clerk forgot to make sure it was heated up. Right now the temperature is 70 degrees. The clerk says that it will get 10% warmer every hour.
1)When will the temperature be at least 103 degrees?
Time (hrs.) / Temperature (degrees)2)In this context, will the function be discrete or continuous?
3)Why is the equation ?
The yearbook staff is unpacking a box of school yearbooks. The sequence 281, 270, 259, 248,…represents the total number of ounces that the boxweighs as each yearbook is taken out.
1)What is the weight of each yearbook?
2)After 20 yearbooks were unpacked, how muchdid the box weigh?
3)If the full box of yearbooks weighs 281 ounces,how many yearbooks were in the box? (Hint: 1pound=16 ounces)
Write your own story to match each of the following functions:
1)
______
2)
______