2023-24 Benchmark 2 CALC

Front

What is the appropriate domain for the number of gigabytes used in a cell phone data plan that disables data after 15 gigabytes?

Back

x is an integer, where 0 ≤ x ≤ 15.

Front

When multiplying two values written to the tenths place, what is the highest level of accuracy for the result?

Back

The highest level of accuracy for the number of miles driven using 2.5 gallons of gas is the ones place because multiplying two values written to the tenths place results in canceling out the decimal place.

Front

In the expression 95(1 + 0.2)^m, what does the factor (1 + 0.2) represent?

Back

The factor (1 + 0.2) represents the population increasing by 20% each month.

Front

If an event costs $75 per person, how can we estimate the number of attendees based on a linear model?

Back

Approximately 120 people will attend an event that costs $75 per person.

Front

What is the average rate of change in the number of bricks removed from hour 1 to hour 4 if 30 bricks are removed in total?

Back

–15 bricks per hour.

Front

Define the term 'domain' in the context of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is an exponential growth model?

Back

An exponential growth model describes a situation where a quantity increases by a fixed percentage over equal time intervals.

Front

What does the initial value in an exponential function represent?

Back

The initial value represents the starting amount before any growth occurs.

Front

How do you calculate the average rate of change of a function over an interval?

Back

The average rate of change is calculated by taking the difference in the function values at the endpoints of the interval and dividing by the difference in the input values.

Front

What is a linear model in statistics?

Back

A linear model is a mathematical representation of the relationship between two variables that can be graphed as a straight line.