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One More Week Until Your Unit Test!

One More Week Until Your Unit Test!. Pick up the paper from the front table Take out your homework Take out your foldable from yesterday Write your homework in your homework log Homework: 1) Worksheet (back of notes) 2) Quiz Corrections 3) Period 2: Exponential Quiz tomorrow.

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One More Week Until Your Unit Test!

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  1. One More Week Until Your Unit Test! • Pick up the paper from the front table • Take out your homework • Take out your foldable from yesterday • Write your homework in your homework log Homework: 1) Worksheet (back of notes) 2) Quiz Corrections 3) Period 2: Exponential Quiz tomorrow

  2. Solving Word Problems Involving Exponential Functions Learning Objective • SWBAT solve word problems involving exponential functions

  3. APK: Whiteboards • Graph

  4. Whiteboards • In y = a•bx, what does the “a” represent?

  5. Word Problems • A= initial amount ( y- intercept) • B= the rate (%) increase/decrease • B>1 increase • 0<B<1 decrease

  6. Formula

  7. Example/ Non-Example

  8. Example 1 When you drop a sugar cube into a glass of hot water, the amount of sugar remaining in the cube is given by the function F(x) = 5(0.9)x, where xis measured in seconds and Fis measured in grams. • What does the 5 represent? • Is the function increasing/ decreasing?

  9. Example 2 Bunnies reproduce according to the function p(t) = 500(1.85)t, where t is measured in years and p is the size of the bunny population What does 500 represent? Is this function increasing/ decreasing? By how much?

  10. Example 3 Your uncle bought a classic car for $22,000. Because it is a classic, and your uncle takes great care of it, its value appreciates at 7% a year. Write a function that describes this situation.

  11. Example 4 Have you seen the TV show Lost? Right now, there are 42 people on the island. Well, they are never going to be rescued. Assume that the number of people on the island decrease by 12% each year. Write a function.

  12. Whiteboards • Enrique won the Exponential Lottery! Congratulations! He has been given a special bank account with $100 in it. As long as he doesn’t take any money out of it, each month it will increase by 75%. Write a function

  13. Whiteboards Mr. Greene likes to drink a cup of green tea every morning (get it?). One cup has about 35 mg of caffeine in it, and the amount of caffeine left in the bloodstream decreases by 23% every hour.

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