IM Alg1.5.20 Practice: Changes over Equal Intervals
Whenever the input of a function f increases by 1, the output increases by 5.
Which of these equations could define ?
The function is defined by . Which of the following statements is true about the values of ? Select all that apply.
The two lines on the coordinate plane are graphs of functions f and g.
Use the graph to explain why the value of increases by 2 each time the input increases by 1.
The function is given by . Find the quotient .
What does this tell you about how the value of changes when the input is increased by 2?
Find the quotient .
What does this tell you about how the value of changes when the input is increased by 3?
For each of the functions and , the domain is 
. For which functions is the average rate of change a good measure of how the function changes for this domain? Select all that apply.
The average price of a gallon of regular gasoline in 2016 was $2.14.
In 2017, the average price was $2.42 a gallon—an increase of 13%. At that rate, what will the average price of gasoline be in 2020?
A credit card charges a 14% annual nominal interest rate and has a balance of $500.
If no payments are made and interest is compounded quarterly, which expression could be used to calculate the account balance, in dollars, in 3 years?
Here are equations that define four linear functions.
For each function, write a verbal description of what is done to the input to get the output, and then write the inverse function.