Equations
Graphs
What is the output?
Word Problems
100
The equation y=3x. Is this a function? Explain.
Yes. Each input has only 1 output
100
Is this a function? Explain.
Yes. Each input has only 1 output.
100
If y=3x+2, what is x=3?
11
100
Emma babysits and earns $12 per hour. Write an equation that represents her total earnings, y, after working x hours.
y=12x
200
A gym charges a $25 membership fee plus $10 per workout session. Write an equation that represents the total cost, C, based on the number of sessions x.
Does this equation represent a function?
C = 10x + 25
Yes it is a function
200
What point does the function y=2x+3 cross the y-axis?
(0,3)
200
If y=x2−4, what is x=5?
21
200
John works at a coffee shop for $10 an hour. Is the amount of money he makes a function of hours worked or are hours worked a function of money made? Explain.
Money is a function of hours worked.
Money earned is the output and hours worked is the input. You can determine the money made based on the hours worked.
300
The equation: y=4x - 13
What is the input if the output is 3?
x=4
300
Is this a function? Explain
No - There are multiple outputs for the input 3
300
If y= (x/2) +5, what is x=10?
10
300
The perimeter of a square is four times its side length. Write a function for the perimeter, P, in terms of side length s.
P=4s
400
The equation: y=(1/2)x + 5
What is the input if the output is 17?
x=24
400
Is this a function? Explain
No. There are inputs that have multiple outputs.
400
If y=3x+x2, what is x=3?
18
400
The time it takes to complete your homework (T) is a function of the number of assignments you have (a). Each assignment takes 20 minutes to complete.
Create an input-output diagram for this function.
Then, write an equation that describes the function.
Input: a Rule: x20 Output: T
T=20a
500
Explain why the equation y = -4 is not a function.
It is a vertical line at -4 meaning the input -4 will have multiple outputs.
500
A set of points: {(2,3), (4,5), (2,6)}. Is this a function? Explain.
No. The input 2 repeats and has two different outputs
500
If y=5x-2, and you have an output of 33, what is the input?
x=7
500
A rental car company charges $40 per day plus $0.15 per mile driven. Write an equation that represents the total cost, C, based on the number of days d and miles driven m.
Then find out how many miles were driven when the total cost was $135 and they had to car for 3 days.
C=40d+0.15m
m=100