WorksheetsComparing Functions and Rates of Change Fill in the Blanks
Total questions: 9
Worksheet time: 5mins
Madison created two functions. For Function A, the value of y is two less than four times the value of x. The table represents Function B. In comparing the rates of change, which statement about Function A and Function B is true?
Function A and Function B have the same rate of change.
Function A has a greater rate of change than Function B has.
Function A and Function B both have negative rates of change.
Function A has a negative rate of change and Function B has a positive rate of change.
The table represents a linear function. Which function has a greater slope and a greater y-intercept than the linear function represented in the table?
y = 2x + 8.5
y = 5x + 6.5
y = 3x + 7.5
y = 10x + 5.5
Function J is shown on the coordinate grid. If the y-intercept of Function R is 3/2 greater than the y-intercept of Function J, which equation could represent Function R ?
y = -x + 4.5
y = 0.5x + 3
y= 3x + 0.5
y = 4.5x - 1
Function P is a linear function with a y-intercept of 5. Function Q is defined by the equation y = -1/3x + 4. Which statement must be true about functions P and Q?
Both functions have the same slope.
Both functions have a negative slope.
The functions will have the same input when y = 0.
The functions will have different outputs when x = 0.
Functions W and Z are both linear functions x. Which statement comparing the functions is true?
The slope of Function W is equal to the slope of Function Z.
The slope of Function W is less than the slope of Function Z.
The y-intercept of Function W is equal to the y-intercept of Function Z.
The y-intercept of Function W is less than the y-intercept of Function Z.
Which function of x has the least value for the y-intercept?
A
B
C
D
Two photographers offer different pricing plans for their services. The graph models the prices Photographer A charges. The table shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. Which statement about the two pricing plans is true?
Photographer A charges $15 per hour more than Photographer B
Photographer B charges $15 per hour more than Photographer A
Photographer A’s equipment fee is $25 less than Photographer B’s
Photographer B’s equipment fee is $25 less than Photographer A’s
The table represents linear Function F. The equation y = 4x + 2 represents Function G. Which statement is true?
The rate of change of Function G is less than the rate of change Function F because 2 < 3
The rate of change of Function G is less than the rate of change Function F because 4 < 9
The rate of change of Function G is greater than the rate of change Function F because 2 > 9/7
The rate of change of Function G is greater than the rate of change Function F because 4 > 3
Linear functions M and P are shown in the picture. In comparing the rates of change, which statement about Function M and Function P is true?
Their rates of change differ by 2.
Their rates of change differ by 4.
Function M has a greater rate of change than Function P.
Function M and Function P have the same rate of change.
