Benchmark #3 Review (Alg 1 Extended)

• The empty crate of watermelons weighs 10 kg.

• The empty crate of watermelons weighs 50 kg.

• Each watermelon weighs 10 kg.

• Each watermelon weighs 50 kg.

• The value of the car was $15,000 when it was first purchased.

• f(4)=6,144 gives the value of the car 2 years after it was purchased.

• The value of the car decreases each year.

• 6 years after it was purchased, the value of the car will have decreased to $0.

A person purchased a home in Schaumburg for $350,000. The value of the homes in that neighborhood have been appreciating (or increasing) by 12% annually. Which equation could be used to calculate the value of the home y, in dollars, after t years?

• 1.045%

• 4.5%

• 45%

• 1045%

Which function represents exponential decay?

• A student purchased a car for $500, and it increased in value by 50% each year.  

• A student deposits $500 into a bank account that increases by $0.50 each year.

• A patient took 500 mg of medicine and only 50 percent of the medicine remained in their system after each hour.  

• The population of a small town began with 500 people, and multiplied by 50 every year.

Here is a graph that represents the population of a native animal species over time.

Which function could be represented by the graph shown?

Whenever the input of a function f increases by 1, the output increases by 8. Which of these equations could define f?

The number of ships in the Australian navy since the decade of 1880 is represented by the table below.

Which model for S(t), the number of ships t decades after the decade of 1880, best fits this data?

• When the input x increases by 2.5, the value of f increases by 1.

• When the input x increases by 2.5, the value of f increases by a factor of 1.

• When the input x increases by 1, the value of f increases by 2.5.

• When the input x increases by 1, the value of f increases by a factor of 2.5.