Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
4. Solving Exponential Equations
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Exercise 5 Page 299

Using a graphing calculator will help solve this problem.

5 years

Practice makes perfect
We are given the equation p=30(2^n), where p is the population and n is the amount of years. We want to find the amount of years it will take the population to reach 960 mice. p=30(2^n) ⇒ 960=30(2^n)

We can use our graphing calculator to solve this. We will start by inputting the equation y=30(2^x) by pressing Y=. Notice that we switched our variables to x and y, because those are the variables that the calculator will accept.

Now, we want to find when the output value equals 960. We can do this by pressing 2ND and GRAPH.

F

We can see that y=960 when x=5. This tells us that the population will be 960 in 5 years.