Unit 6 Review: Logs and Exponentials

The amount of a radio active substance is shown below. Based on the graph answer the questions.

There will be 20 grams of substance left after ​ ​ (a)   years.

There was initially ​ (b)   grams of the substance.

As time approaches infinity, the amount of the radio active substance approaches ​ (c)   grams.

• 900
• 50
• 0
• 45
• 3500
• infinity
• 100
• 25
• 1500

Kyra monitors the total views of a math video posted by her class on a website. The number of total website views at the end of each day is shown in the graph.

What is the average rate of increase in website views from day 1 to day 6?

Here is a graph of an exponential function. Which of the functions below have the same end behavior as the graph shown?

Determine whether each function represents exponential growth or exponential decay

Groups:

(a) Growth

,

(b) Decay

A city's parking meter collection is represented by C in millions of dollars. For t years since 2010, the collection decays by a constant percent rate annually.

Which functions could model the city's collection each year? Choose ALL that are correct.

• Population of specie B triples every year, while the population of specie E triples every 25 years.

• Population of specie B grows by 3% every year, while the population of specie E grows 3% every 25 years.

• The population of specie B grows by 103% for one year while the population of specie E grows by 300% every year for 25 years.

• Population of specie B grows by 3% every year while the population of specie E triples every 25 years.

Which of these statements about the percent amount of growth or decay in the given functions are true? Select the THREE that apply.

Given the logarithmic functions below, order from LEAST to GREATEST in terms of the x-intercepts.

Mathematical Equivalence

OFF