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The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the.

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Presentation on theme: "The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the."β€” Presentation transcript:

1 The number of bees in a hive is growing exponentially at a rate of 40% per day. The hive begins with 25 bees. Which function models the population of the hive after t days? A. P(t) = 25(1.40)t B. P(t) = 25(1.60)t C. P(t) = 25(0.40)t D. P(t) = 10t

2 6-2 Solving Exponential Equations and Inequalities
The unknown is in the exponent spot. How do I solve these?

3 Β Simple exponential equations can be solved by rewriting one or both sides of the equation so that the bases are the same. Once that has been achieved, the Property of Equality for Exponential Functions can be used to solve for the variable.

4 Solve. What base do both sides have in common? π‘Ž+2 = 3 3π‘Ž+1

5 Write an exponential function for the graph that passes through the given points. y = a(b)x
17. 0, 256 π‘Žπ‘›π‘‘ (4, 81) Use for 15 as well

6 Key Concept COMPOUND INTEREST
You can calculate compound interest using: where A is the amount in the account after t years, P is the principal amount invested, (beginning amount), r is the annual interest rate, and n is the number of compounding periods each year. 21. Determine how much is in a retirement account after 20 years if $5000 was invested at 6.05% interest compounded weekly

7 𝑀+2 < 𝑀


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