Reilly sends 45 texts in 15 minutes.
How many texts does Reilly send per minute?
He sends 3 e-mails per minute.
Roxie charges $12 to hold Carl. Write an equation that represents Roxie's earnings.
y = 12x
Benjamin sells tickets at an amusement park.
Does the number of tickets he sells and the cost make a proportional relationship?
YES!
Which graph is growing at a faster rate?
Line a
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
What is the MEDIAN of this data set?
7
Viv earns $640 in a 40-hour work week.
What is Viv's hourly rate of pay?
Viv earns $16 per hour.
Kaydee speed reads at reads 27 pages in 9 minutes.
Write an equation for this relationship.
y = 3x
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!
Kylee wrote the equation y = 7x and Olivia wrote the equation y = 5.5x.
Which relationship has the greater constant of proportionality?
Kylee's: y = 7x
What is the generic equation for a proportional relationship? (using only variables!)
y = kx
What is the value of:
45
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.
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
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)
April went to Winco and wrote an equation to represent the relationship between pounds of bananas and the total cost. The equation is y = 1.5x
William went to Walmart to investigate the same thing and recorded this table below:
Which relationship has the greater constant of proportionality?
April's equation has the greater constant of proportionality because 1.5 is greater than 1.25.
What is the constant of proportionality if the coordinate (1, 7) is part of the relationship?
k = 7
What is the difference between the temperatures in Hawaii and South Dakota?
70 degrees
Danielle bought 4 horses for $3,504. How much does 1 horse cost?
$876
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.
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!
Which has the larger constant of proportionality? Explain.
The graph?
or this problem: Ethan completed 10 laps in 18 minutes. How many laps did he run in 1 minute?
The word problem!
1.8 is larger than .66.
What is the constant of proportionality if the equation is y = 8.375x
k = 8.375
What is the decimal equivalent of:
1.375
Annie sells 15 apples for $8.25 at the farmer's market.
How much would 4 apples cost?
4 apples would cost $2.20.
When BrookLynn babysits she charges a flat fee of $3 and $5.50 per hour.
When Alayna babysits she charges $3 per hour and expects a $10 tip.
Write TWO equations to represent each girl's earnings.
BrookLynn: y= 5.50x +3
Alayna: y = 3x+10
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!
Which relationship has the greater constant of proportionality? The table or the graph.
The table!
2.75 is greater than 2.5.
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
1,375 in2