Unit 5.2 Test Review

• exponential growth; 122,000 points; The number of points increases by 4.5% each round.

• exponential decay; 4500,000 points; The number of points increases by 22% each round.

• exponential decay; 122,000 points; The number of points increases by 4.5% each round.

• exponential growth; 4500,000 points; The number of points increases by 22% each round.

• 6

• 12

• 36

• 1

Answer explanation

Exponential growth is when (b) is greater than 1. So our number inside the parenthesis needs to be greater than 1. So we must choose a number greater than 12 so when we divide it becomes bigger than 1. 36 is the only number bigger. 36/12 = 3 and 3 > 1, so its exponential growth.

Answer explanation

When you are multiplying the same base with exponents, we have to add the exponents together.

• 3

• 12

• 1

Answer explanation

"e" the natural exponent and "ln" the natural log are opposites of each other so when you preform one action to the other then they cancel each other out leaving the number by itself.

• 7

• 2

Evaluate log (1.4) using a calculator. Round your answer to three decimal places.

• 25.119

• 1.0

• 0.146

• 0.292