Proportional Relationships
$10 for 1 pizza and 18$ for 2 pizzas is not proportional because...
What is each unit rate is different. The first is $10/pizza and the 2nd is $9/pizza
What is the slope and y intercept of y = 4x + 3
What is m=4 b=3
Tell whether the equation can be written in the form y = mx + b. Write yes or no. If yes, write the equation in the form y = mx + b. y = 3 − 2x
What is yes; y = -2x + 3
Is the equation y = 3x linear or nonlinear?
What is linear.
One value of y for each value of x, relationship is a function because its graph is a non-vertical line.
What is a linear function
What is the slope of a line with points (1, 2) and (3,4).
What is m=1
What makes y = 7x + 2 a non proportional relationship.
What is the y-intercept is 2 so this does not go through the origin.
Which equation is linear: y = x2 + 4 or y = 9 + 3x
What is y=9 + 3x or y=3x + 9.
Tell whether each relationship is a function. {(0, 8), (1, 2), (3, 7), (5, 9), (3, 6)}. Explain!
What is not a function because the input repeats itself.
x value that is put into a function and the y value which is the result
What is input and output
What is the rate of change for 3 lawns mowed for $45 earned and 6 lawns mowed for $90.
What is $15/lawn.
What is the slope and y intercept of y - 3x = 5
What is m = 3 b = 5
First write an equation in the form y = mx + b. Then, solve each problem. A sales associate is given a $500 hiring bonus with a new job. She earns an average commission of $250 per week. How much does she earn if she works for 12 weeks?
What is y=250x + 500, if x = 12, y = $3,500
Tell whether each relationship is a function. {(0, 0), (2, 4), (3, 6), (5, 5), (7, 6)}. Explain!
What is function because the input does not repeat or every input has exactly one output.
an equation where the input has a 1 to 1 relationship with the output.
What is a function
What is the slope of a line with points (1, 2) and (3,2).
What is m=0
Explain why the relationship is not proportional
x | 1 | 2 | 3 | 4 |
y | 4.5 | 6.5 | 8.5 | 11.5 |
What is rate of change is constant from 1 to 2 to 3, but not from 3 to 4
Ali's phone plan is $25 per month plus $0.35 for every text over 50 . Write your equation in y=mx+b form then, solve the problem for 121 text messages.
What is y =0.35x + 25, y=$49.85
A cheetah’s speed was timed over a 100- yard distance. The cheetah was clocked running 70 miles per hour. Write an equation that shows the relationship between the distance, y, and time, x, the cheetah runs.
What is y = 70x
is used to represent a relationship between input values and output values
What is a mapping diagram
Jori is riding her bike. She rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours. Find the constant of proportionality and write an equation to describe the situation.
What is k = 12.5; y = 12.5x
What is the slope and y-intercept of the non-proportional relationship represented by the equation?
y - 2000 = 0.1x
What is m=0.1 b=2000
First write an equation in the form y = mx + b. Then, solve each problem. A water tank holds 18,000 gallons. If the water decreases at an average rate of 450 gallons per day, how long will it take the water level to reach 6,000 gallons.
What is y = −450x + 18,000; if y = 6,000, x = 26.6 days.
Janelle and Matt run their own tutoring business's. Janelle charges an initial fee of $75 and then, $10 per hour of tutoring. Matt charges an initial fee of $50 and then, $20 per hour of tutoring. If a student needed to be tutored for 2 hours, whose business is cheaper?
What is Matt's business.
a test used to find out if a graph is a function or not a function
What is the vertical line test