WorksheetsUnit 1b Study Guide
Total questions: 17
Worksheet time: 17mins
Sally has $40 saved in her bank account and started working at a bakery where she earns $10 per hour.
Part A: Which of the following functions could be used to represent the amount of money she has earned after x hours?
f(x) = 40
f(x) = 10x - 40
f(x) = 10x + 40
Sally has $40 saved in her bank account and started working at a bakery where she earns $10 per hour.
Function: f(x)= 10x + 40
Part B: Assuming she puts all of her money into her savings account, how much money will she have after working 40 hours? Show all work in the space provided below.
$340
$440
$4000
A student is constructing a table of values that satisfies the definition of a function.
Part A: Suppose you input 1 into the blank box, would the relation be a function? Explain.
Yes, x doesn't repeat.
Yes, y doesnt repeat.
No, x does repeat.
No, y does repeat.
A student is constructing a table of values that satisfies the definition of a function.
Part B: Suppose you input 2 into the blank box, would the relation be a function? Explain.
Yes, x doesn't repeat.
Yes, y doesnt repeat.
No, x does repeat.
No, y does repeat.
The cost to manufacture x pairs of boots can be represented by a function, B (x ). Suppose B (4) = 400. Answer the following questions:
Part A: What does the 4 represent in B (4) = 400?
Total Cost
Number of boots
The name of the function
The cost to manufacture x pairs of boots can be represented by a function, B (x ). Suppose B (4) = 400.
Part B: What does the 398 represent in C (4) = 398?
Total Cost
Number of boots
The name of the function
A salesperson receives a base salary of $40,000 and a commission of 12% of the total sales for the year.
Part A: If I = total income and S = total sales, write a linear function that shows the salesperson's total income based on total sales.
I= .12S + 40,000
I= .12S
I= .12S - 40,000
A salesperson receives a base salary of $40,000 and a commission of 12% of the total sales for the year.
Function: I=.12S + 40,000
Where x=s and I=y.
Part B: If the salesperson sells $450,000 worth of merchandise, her total income for the year will be?
94,000 sales
$94,000
94,000 dogs
Are the functions y = -3x +4 and 3x - y = 6 parallel, perpendicular, or neither?
Perpendicular
Parallel
Neither
Determine whether the rate of change is constant. If it is, find the rate of change and explain what it represents in terms of the problem.
Yes, it is constant because the distance increases by the same amount each time. That amount is10.
No, it is not because the distance (y) doesn't increase by the same number each time. It increases by 6 then 3 then 6.
Find 3 points on the line.
(0,5), (3,7), and (6, 9)
(1,5), (2,0), (3,2)
(0,4), (7,3), (1,2)
Determine whether the statement is always, sometimes, or never true. Explain.
Part A: Two lines with different slopes are ______________perpendicular.
SOMETIMES
NEVER
ALWAYS
Determine whether the statement is always, sometimes, or never true. Explain.
Part B: : A vertical line is _________________perpendicular to the x-axis.
SOMETIMES
ALWAYS
NEVER
Determine whether the statement is always, sometimes, or never true. Explain.
Part C: The slopes of a vertical line and a horizontal line are _________ opposite reciprocals
SOMETIMES
ALWAYS
NEVER
Find the y intercept and the slope. Hint: you have to put this in slope intercept form.
12x − 4y = 8
m=3 and b = -2
m=1 and b=2
m=1/3 and b = 1/2
Is this relation a function?
Yes, none of the x values repeat.
No, the x values repeat.
Determine if the relation is discrete or continuous.
Discrete
Continuous
