Unit 4 Part 1 Review

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

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

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.

• The initial number of Rhinos is 200, and decreases by 20% every year.

• The initial number of Rhinos is 80, and decreases by 200% every year.

• The initial number of Rhinos is 20, and decreases by 80% every year.

• The initial number of Rhinos is 80 and decreases by 20% every year.

A classic car was purchased for $52,000. Its value is predicted to increase exponentially at a rate of 7% each year. Which equation can be used to predict t, the number of years it would take for the car to have a value of $70,000?

Information about two phones Ella wants to buy is given below.

Phone A has a value of $700 and is going to decrease exponentially by 6% every year.

House B has a value of $950 and is going to decrease exponentially by 12% every year.

Which equation can be used to determine m, the number of months in which the expected value of Phone A would be half the expected value of Phone B?