Constant of Proportionality
What is the constant of proportionality in this equation?
y=10x
The constant of proportionality is 10.
Solve the following equation:
(n/3) - 10 = 2
n = 36
Destiny is selling tickets for a circus show. She wants to meet her monthly quota of 500 tickets. Currently, she has sold 224 tickets and only has 12 days left before the month ends. Write and solve an equation to show how many tickets Destiny needs to sell each day to meet her monthly quota.
229 + 12x = 500
x = 23 tickets
Bogart’s Clothing Store buys coats for $50 and then sells them for $80. What is the percent of mark up on the price of the coat?
60% mark up
What is the formula for finding the volume of any type of prism?
Volume = (area of the base) x (height of prism)
What is the constant of proportionality in this equation?
2y = -10x
The constant of proportionality is -5.
Solve and graph the inequality:
2x + 3 > 7
x > 2
Dieonte works 5 days a week. On Tuesday, he only works of 3 hours, but works 6 hours every other day. If he makes $166.05 each week, what is his hourly rate? (DON'T FORGET YOUR UNITS)
Dieonte's hourly rate is $6.15.
Josh’s average in Math for the first nine weeks was an 88. His second nine weeks average decreased 12.5%. What was his average for the second nine weeks?
Josh's average for the second nine weeks was 77.
A rectangular prism has a volume of 224 ft3. The height is 8 ft, and the width is 7 ft. What is the length of the rectangular prism? (Reminder: Volume = L x H x W)
L x 8 x 7 = 224
L = 4 ft
What is the constant of proportionality in this equation?
4y+3 = 6x+3
The constant of proportionality is 1.5 or 3/2.
Solve the equation below:
2(3b + 6) = 24
b = 2
Mariely wants to ride her bike for more than 80 miles this week. She has already ridden her bike for 18 miles. Write and solve the inequality that could be used to determine the mean number of miles m, Mariely would need to ride her bike each day for six more days to achieve her goal? Round to the nearest hundredth.
6m + 18 > 80
m > 10.33
Nike has 74,300 employees. The company begins a new product line and must increase their number of employees by 18%. How many total employees does Nike have now?
Nike has 87,674 employees.
A triangular prism has a right triangular base with 3 mm and 4mm as the base and height. The volume of the prism is 36 mm3. What is the height of the prism? [Reminder: A = (1/2)bh]
height of the prism = 6 mm
Write the equation and constant of proportionality in the table below:
Votes for Faye (x) 9 7 6 8 3
Votes for Victor (y) 342 266 228 304 114
The equation is y = 38x.
The constant of proportionality is 38.
Solve and graph the inequality:
- (8h - 5) < 9
h > -0.5 OR h > 1/2
Julimar is a doctor and earns a monthly salary of $8,000, plus $5 for every patient that she treats. She wants to go to Hawaii next month, so she needs to save $10,000 for all her expenses. Write and solve an equation to show how many patients Julimar needs to treat in order to cover all her expenses.
8,000 + 5x = 10,000
x = 400 patients
Joshward had 765 cards in his baseball collection. He sold 153 of the cards to purchase a new phone. What is the percent of change in the number of Joshward’s baseball card collection? And what kind of change is it?
20% decrease
Mr. Hempleman has a special figure that is made up of one large cube and one small cube. The edge of the large cube is 7 in long. The edge of the small cube is 3 in long. What is the total volume of Mr. Hempleman's special figure?
TRUE or FALSE:
The table below is proportional.
(x) 35 17.5 8.75 4.375 2.1875 1.09375
(y) 122.5 61.25 30.625 15.26875 7.65625 3.828125
The answer is FALSE!
Solve and graph the inequality.
5(-5x + 19) > 20
n < 3
Talik earns $9 per hour and $6 for each d delivery he makes. He wants to earn more than $156 in an 8-hour workday. What is the least number of d deliveries he must make to reach his goal? (Need answer sentence!)
Talik needs to make more than 4 deliveries.
OR
Talik needs to make at least 5 deliveries.
In 1983, a 30-second Super Bowl commercial cost $400,000. In 2000, a 30-second commercial cost $1,900,000. In 2017, a 30-second commercial cost $5,500,000.
(A) What was the percent of change in the cost of a commercial from 1982 to 2000?
(B) What was the percent of change in the cost of a commercial from 2000 to 2017?
(C) What was the percent of change in the cost of a commercial from 1982 to 2017?
(A) 375% increase
(B) 189% increase
(C) 1275% increase
The base of the cylinder has a circumference of 314 cm and the cylinder is 15 cm tall. What is the volume of the cylinder?
C = (2)(pi)(r) or C = (pi)(d)
A = (pi)(r2)
d = 2r
volume = 117,750 cm3