Word Problems
Equations
Tables and Graphs
The Basics
Equations/Constant
Fun Facts
100
Reilly sends 45 texts in 15 minutes.
How many texts does Reilly send per minute?
He sends 3 e-mails per minute.
100
Roxie charges $12 to hold Carl. Write an equation that represents Roxie's earnings.
y = 12x
100
Benjamin sells tickets at an amusement park.
Does the number of tickets he sells and the cost make a proportional relationship?
YES!
100
What is another term for the relationship of a ratio that is proportional?
Proportional Relationship
100
Every 2.5 hours, Ryland produces
2250 basketballs with the machine he runs. How many basketballs does he produce per hour?
900 basketballs per hour
100
Which Roman god is March named for?
Mars.
200
Viv earns $640 in a 40-hour work week.
What is Viv's hourly rate of pay?
Viv earns $16 per hour.
200
Kaydee speed reads at reads 27 pages in 9 minutes.
Write an equation for this relationship.
y = 3x
200
Joshua collected the temperature in celsius once a month for 4 months. Madison collected the amount of ice cream sold on those same days.
Does their table represent a proportional relationship?
NO!
200
What is another term for "unit rate"?
Constant of Proportionality
200
What is the generic equation for a proportional relationship? (using only variables!)
y = kx
200
What is one of the two birthstones for March?
aquamarine or bloodstone
300
The helicopter that Andrew is flying has a propeller that spins 2400 revolutions in 4 minutes.
What is the constant of proportionality(k) in this relationship?
600 revolutions per minute.
300
Kaden rode his bike at a constant speed. He rode 1 mile every 4.5 minutes.
Write an equation to represent this relationship.
y=4.5x
300
Aubrey decided to quiz the class. She asked them, "A graph represents a proportional relationship if it has what TWO characteristics?"
1.
2.
1. It is a straight line
2. It passes through the origin, (0, 0)
300
How do we find the constant of proportionality?
Divide y by x.
300
What is the constant of proportionality if the coordinate (1, 7) is part of the relationship?
k = 7
300
March 17 is St. Patrick's Day. This holiday marks the anniversary of the death of who in 461?
St. Patrick
400
Danielle bought 4 horses for $3,504. How much does 1 horse cost?
$876
400
Ricky loves go-carts.
The equation y = 25x represents the go-cart track speed limit, in miles per hour.
How long did Ricky drive go-carts if he drove 140 miles total at the speed limit?
Ricky drove 5.6 hours.
400
Gaige and Kasen were experimenting with the weight of objects on Earth compared to the moon. Kasen found the weight of 4 objects on Earth and Gaige found the weight of the same 4 objects on the moon.
Do their weights represent a proportional relationship?
YES!
400
The point (0,0) on a graph is called what?
The origin.
400
What is the constant of proportionality if the equation is y = 8.375x
k = 8.375
400
Who made the first phone call to his assistant on March 10, 1876.
Alexander Graham Bell
500
Annie sells 15 apples for $8.25 at the farmer's market.
How much would 4 apples cost?
4 apples would cost $2.20.
500
What is Mr. Gordon's middle name?
He does not have a middle name.
500
Asher wrote the equation d = 3.5t + 12 where t represents time in minutes and d represents the distance in miles.
Did Asher write a proportional relationship?
NO!
500
What letters do we typically use to identify the horizontal and vertical axes on a graph?
x and y
500
Marissa writes 4 equations.
Which equations did she write that represent a proportional relationship?
A. y = 2x + 3
B. y = 4x + 0
C. y = 5.4x
D. y = 2/x
B and C
500
March 4 celebrates what occasion (very popular in New Orleans, Louisiana)?
Mardi Gras (also known as "Fat Tuesday")