Proportional Relationships
$10 for 1 pizza and 18$ for 2 pizzas is non proportional because...
What is y/x is not constant.
What is the slope and y intercept of y = 4x + 3
What is m=4 b=3
A water tank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an average rate of 450 gallons per day?
What is y = −450x + 18,000; if y = 6,000, x = 26.6 days.
Tell whether the equation is linear or nonlinear.
y = 3x
What is linear
an equation that when graphed forms a straight line
What is linear equation
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 y intercept of 2 makes different unit rates
Yes or no. The following equation is in slope-intercept form y = 3 − 2x
What is yes; y = -2x + 3
Tell whether each relationship is a function. {(0, 8), (1, 2), (3, 7), (5, 9), (3, 6)}
What is not a function
Where the graph of a line crosses the y axis.
What is y intercept.
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= 5 -3x
What is m = -3 b = 5
A sales associate is given a $500 hiring bonus with a new job. She earns an average commission of $250 per week for the next 12 weeks. How much does she earn?
What is y = 250x + 500; if x = 12 weeks, y = $3,500.
Tell whether each relationship is a function. {(0, 0), (2, 4), (3, 6), (5, 5), (7, 6)}
What is function
a ___ assigns to each input exactly one output (x values don't repeat)
What is a function
What is the slope of a line with points (1, 2) and (3,2).
What is m=0
True or False: A non-proportional relationship is linear and goes through the origin.
False, a non-proportional relationship is nonlinear and does not go through the origin.
A farm has 75 acres of wheat. The farmer can harvest the wheat from 12 acres per day. In how many days will all of the fields be harvested?
What is y = −12x + 75; if y = 0, x = 6.25 days.
A cheetah’s speed was timed over a 100- yard distance. The cheetah was clocked running 70 miles per hour. Which equation shows the relationship between the distance, y, and time, x, the cheetah runs?
What is y = 70x
a linear equation y=mx + b where m represents the slope and b represents the y intercept
What is slope intercept form of a line.
What is the slope of a line with points (1, 5) and (1, 2).
What is m=undefined.
True or False. A graph of dots that has the same x-values is proportional.
False, a proportional function is linear and does not have repeating x-values.
Mrs. Sanchez is given a $550 hiring bonus with a new job. She earns an average commission of $275 per week. If $68 is subtracted each week for taxes and benefits, how much does she earn in a year?
What is . y = 275x - 68x + 550; if y = 1 yr, x = 52, y = $11,314
Jing just got a new job. She started at a pay rate of $12.50 per hour and will get a $0.50 raise each year. Max started a job where his salary is found by the equation: f(x) = x + 10, where x is the number of years. Who will earn more after per at 3 years?
Who is Jing?
What type of function goes through the origin and is linear?
What is a proportional function.