Rates of change
Linear Models
Arithmetic Sequences
Vocabulary
Formulas
Lagniappe (a little something extra!)
200
Often written using the letter m, this describes the vertical change divided by the horizontal change
What is slope?
200
This type of variation is defined as
y = k/x
where k ≠ 0, x ≠ 0, and y ≠ 0
What is indirect variation?
200
This term describes the difference between consecutive terms in an arithmetic sequence
What is a common difference?
200
This type of variation is defined as
y=kx
where k ≠ 0 and the constant k is the constant of variation
What is direct variation?
200
This formula shows the change in y divided by the change in x
What is the slope formula?
200
Does this graph show direct variation, indirect variation, or neither?
What is neither?
400
This type of slope describes a graph that increases from left to right.
What is a positive slope?
400
y varies directly as x.
If y = 2, then x = 6. Find x when y = 10
What is 30?
400
Find the next 3 terms in the arithmetic sequence 15, 24, 33, ...
What are 42, 51, and 60?
400
This type of sequence has a common difference between consecutive terms.
What is an arithmetic sequence?
400
This formula is used after choosing a starting term and repeatedly applying the same process over and over again
What is the recursive formula?
400
Determine the next 2 terms in the sequence 4, 4, 8, 12, 20, 32, ...
What are 52 and 84
600
This type of slope describes a graph that decreases from left to right.
What is a negative slope?
600
Fill in the blank.
For indirect variation, as x increases, y __________
What is decreases?
600
Find the first 5 terms in the sequence given the recursive formula
What are -0.6, -0.3, 0, 0.3 and 0.6?
600
Only functions that are said to be this type of function have an inverse function.
What is a one-to-one function?
600
This formula describes any term in the sequence using the first term and the common difference.
what is an explicit formula?
600
The Fibonacci sequence can be found using this type of formula
What is a recursive formula?
800
This type of slope describes a horizontal line.
What is a zero slope?
800
y varies indirectly as x.
If y = 8 when x = 20, find the value of k.
What is 160?
800
This explicit formula describes the arithmetic sequence 2, 11, 20, 29, ...
What is
a_n=2+(n-1)9
=-7+9n
800
This type of function interchanges the independent and dependent variables of another function.
What is an inverse function?
800
Write the explicit formula for the arithmetic sequence:
What is
a_n=2+7(n-1)
=7n-5
800
If the equation of f(x) goes through (1, 5) and (4, 8), what points does the inverse function go through?
What is (5,1) and (8,4)?
1000
This type of slope describes a vertical line.
What is an undefined slope?
1000
Fill in the missing step to find the inverse function
What is switching x and y?
1000
Find the tenth term of the arithmetic sequence 0.5, 0.75, 1, …
What is 2.75?
1000
Represented by the variable k, this is used in both direct and indirect variation equations.
What is the constant of variation?
1000
What does each variable in the explicit formula represent?
What are the nth term, the common difference, the first term, and the term number?
1000
This is the process of choosing a starting term and repeatedly applying the same process to each term to arrive at the following term
What is recursion?