What is an exponential function commonly used for in modelling?

• To model linear growth or decay

• To model quadratic relationships

• To model growth or decay proportional to the size of the population

• To model constant rates of change

Which of the following represents an exponential decay function?

• y = 1.5^x

• y = e^x

• y = 0.4^x

• y = x^2

Which of the following represents an exponential growth function where the base is greater than 1?

• y = 0.4^x

• y = e^x

• y = 1.5^x

• y = x^2

Which function represents natural exponential growth?

• y = 0.4^x

• y = e^x

• y = 1.5^x

• y = x^2

Why is it often very difficult to model an exponential equation according to the text?

• Because the data grows linearly

• Because the data is unpredictable

• Because the data grows exponentially

• Because the data decreases over time

What is being modelled in Example 1?

• The growth of a city's population

• The number of products manufactured

• The number of people working in an engineering plant

• The increase in sales over time

What does the table in Example 1 represent?

• The number of machines in the engineering plant over time

• The number of employees in the engineering plant over different years

• The profit made by the engineering plant over time

• The number of engineering plants over time

What does the graph represent?

• The profit of an engineering plant over time.

• The relationship between the age of an engineering plant and the number of employees.

• The number of engineering plants over different years.

• The production output of an engineering plant over time.

Which two methods are suggested for interpreting the data on the graph?

• Drawing a histogram and a pie chart.

• Drawing a line graph and a bar chart.

• Drawing a line of best fit and a freehand curve.

• Drawing a box plot and a stem-and-leaf plot.

What is the age of the engineering plant when it has 19 employees?

• 3 years

• 5 years

• 7 years

• 10 years