Tables and Graphs
Proportional Equations
Constant of Proportionality in Words
Circumference
Area of a Circle
100
Is the rate of change for this table proportional or not proportional? Explain.
Proportional because if we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
100
What is the equation format for proportional relationships?
y = kx
100
Kiran sends 45 emails in 15 minutes. How many e- mails did he send per minute?
3 e- mails per minute
100
How do you find the circumference of a circle?
C = 2(3.14)R or C= (3.14)D
100
Find Area when Radius = 4
50.27 u2
200
Is the rate of change for this table proportional or not proportional? Explain.
Not Proportional because when we divide the sales of ice cream by each temperature, we do not get a constant value.
200
Noah earns $12 per hour. Write an equation that represents Noah's earnings?
y = 12x
200
Clare earned $640 in a 40- hour work week. What is Clare's hourly rate of pay?
$16 per hour
200
What is the circumference of a circle with a diameter = 4 inches
12.56 inches
200
Find Area when Radius = 14
615.75 u2
300
A graph represents a proportional relationship if:
1.
2.
1. it is a straight line
2. it passes through the origin
300
Priya reads 27 pages in 9 minutes. At what rate does Priya read? Write an equation for this relationship.
Priya reads 3 pages per minute
y = 3x
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
K = 600 RPM
300
What is the circumference of a circle with a diameter = 22 cm
69.08 cm
300
Find the area of a circle with a diameter of 10
78.54 u2
400
Write an equation that determines the moon weights (y) when we know the earth's weight (x)
y = 1/6x
400
Max works at a law office. The equation y = 135x represents her earnings. Determine how much money he makes if he works 40 hours.
$5,400 in 40 hours
400
Joey earned $400 working a 40- hour work week. Find Joey's hourly wage and use it to predict how much he will make if he works for 47 hours.
Jeff makes $10 per hour and would make $470 in 47 hours.
400
What is the circumference of a circle when the radius = 50 ft
314 ft
400
Find the area of 1/2 of a circle whose radius is 6
56.52 u2
500
What is the constant of proportionality in this table:
$1.50 per pound
500
If Kiran ate hamburgers at a rate of 3.5 hamburgers per minute and Andre ate hamburgers at a rate of 4.7 hamburgers per minute, write an equation that could represent how many more hamburgers Andre can eat more than Kiran.
y = 1.2x
500
Jamie sells 16 apples for $8.00. What is the unit price for each apple? How much would she earn if she sold 64 apples?
The unit price is $0.50 per apple.
Jamie would earn $24 for selling 64 apples.
500
What is the circumference for 1/2 a circle when the radius 8 inches
25.12 inches
500
Find the area of 1/4 of a circle whose diameter is 14 (round to the nearest hundredth)
38.47 u2