Unit 6, Lesson 16
Compounding Interest
Algebra 1
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The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees.
Write an expression to represent how many trees will be left in 10 years. Then, evaluate the expression.
Here are the graphs of three equations: \(y = 50 \boldcdot (1.5)^x\), \(y = 50 \boldcdot 2^x\), and \(y = 50 \boldcdot (2.5)^x\).
Which equation matches each graph? Explain how you know.
Graph of three lines, origin O. Horizontal axis 0 to 6, by 1’s, labeled x. Vertical from 0 to 800, by 200’s, labeled y. Line A starts at 0 comma 50, passes through 1 comma 125. Line B starts at 0 comma 50, passes through 1 comma 100. Lince C starts at 0 comma 50, passes through 1 comma 75.
Ten students guessed the number of cubes in a jar that contains 202 cubes. Their names and guesses are listed in the table.
Create a scatter plot with the guesses as the horizontal values and the absolute guessing errors as the vertical values.
| Andre | 205 |
| Clare | 190 |
| Diego | 197 |
| Elena | 200 |
| Han | 220 |
| Jada | 210 |
| Kiran | 202 |
| Lin | 203 |
| Mai | 199 |
| Noah | 185 |