Constant of Proportionality
What is the constant of proportionality in the table below?
HOURS 3 5 7 9
WAGES $38.25 $63.75 $89.25 $114.75
$12.75/hour
The original price of a bike is $250. Jen bought is for 30% off. What is the sales price?
$175
Where would 5 added to -4 be on a number line?
1
Nikki has $35 in nickels. How many nickels does she have?
700
How do you know if you can construct a triangle using angle measurements?
All 3 angles add up to 180 degrees
A graph shows the weight of several objects in both pounds and ounces. The graph represents a proportional relationship because the data are arranged in a straight line that goes through the origin. What is another more important explanation as to why this is a proportional relationship?
The ratio of ounces to pounds is the same at each point, 16 ounces/pound
Find the interest to the nearest cent if $975 earns 6.25% interest annually for 15 months.
I = $76.17
Solve: -5(6-8) = x
10
Tina is renting a space for her party at the rec center for $10 per adult, $5.50 per child, and $15 per hour. She is getting half off as well. There are 4 adults and 16 children attending and the party is 5 hours. What is the total price?
$101.50
The circular rim of a basketball hoop has a diameter of 18 inches. What is the circumference of the rim?
56.52 inches
A bakery sells 8 rolls for $2. If this relationship is graphed with # of rolls of the x-axis and cost on the y-axis, what is the constant of proportionality in $/roll?
$0.25/roll
If 40% of a number is 80, what is 25% of that number?
50
30 + 10(x - 20) = 5
10x - 170 = 5
Lee is making a scale model of a filed that is 90 m wide and 120 m long. If the side of the model is 24 cm long, what is the width?
18 cm
Abby has 400 songs on her MP3 player. There are 150 by female vocalists, 75 by male vocalists, and 175 are by groups. If one song is played at random, what is the probability it is sung by a female vocalist?
3/8
A store sells books for $15 each. In the proportional relationship, 15 is the constant of proportionality with x being the number of books purchased and y being the cost per book. What is an equation to show the relationship between x and y?
y = 15x
Joe is buying a jacket for $45. It is on sale for 25% off and there is 7% sales tax added to the final price. How much will he pay including tax?
$36.11
Simplify:
4(2x - 1) + 3(x + 7) - 6x
5x + 17
A taxi company charges a fee of $3.75 plus $2.25 per mile. Mandy's taxi fare is $38.85. How many miles did she ride in the taxi?
15.6 miles
What is the measure of <ABC if colinear angles (they make a line) <ABC is 2x - 6 and <DBE is 3x + 31?
56 degrees
A graph shows the relationship between x, the number of movie tickets purchased, and y, the cost of the tickets ($). What does the point P (30, 6) represent?
6 tickets costs $30 or $5/ticket
The cost of a meal last year was $7.50. This year the meal costs $9.00. What is the percent increase of the meal from last year to this year?
20%
A tiger runs 3 2/5 kilometers in 3 1/2 minutes. What is the top speed of the tiger in kilometers per hour?
58.3 km/hour
There are 342 seats in the auditorium. The students use 2/3 of the seats. The teachers use 75 seats. How many seats are NOT being used?
39 seats
A circular lake has a circumference of 24 miles. To the nearest square mile, what is the area of the lake?
46 miles squared