Exam 3: Linear Equations With Two Variables

The function is a model for a population A where t is measured in years. The function is a model for a population B where t is measured in years. True or false? The function f(t) grows linearly.

A town starts with 200 people and declines by 28% per year with x representing the number of years. Which of the following functions model this behavior?

Using the following table of a function that models exponential decay determine the 3-year decay factor (rounded to the nearest thousandth).

Rewrite the linear equation in general form.

Find the slope of the line that goes through the points and .

is a function that represents the revenue a concert hall takes in for selling t tickets at $24 each. Find .

Evaluate the function. ; find .

What is the percentage rate of change in f from 3 to 6?

Decide whether the lines are parallel perpendicular or neither. and

The amount of caffeine (in milligrams) left in an adult body t hours after drinking a 16 oz. coke is modeled by . What is the decay factor?

When you graph on the coordinate plane the scale on the horizontal and vertical axes should always be the same.

A curve can only have one x -intercept.

Rewrite the linear equation in general form.

Which one of the following scenarios does not describe exponential decay?

The amount of credit card debt that you have can be estimated by the equation where D is credit card debt in dollars m months after you start paying off the credit card. Find and interpret the m- intercept for this equation.

Evaluate the function. ; find .

The amount of credit card debt that you have can be estimated by the equation where D is credit card debt in dollars m months after you start paying off the credit card. Graph this equation.

State which line has the greater slope.

The graph of a function that models exponential decay is shown. What is the one-year decay factor?

A function is a relation in which each input ( x ) is associated with only one output ( y ).