Ratios & Rates
On a graph, a proportional relationship is represented by a straight line that passes through this point
Origin
p + 34 = 96
p = 62
-2x + 25 = 135
x = -55
What is 35% of 500?
175
What is the constant of proportionality in this equation: y = 38x?
38
w - 311 = 789
w = 1100
9x - 13 = 23
x = 4
12 is what percent of 60?
20%
Lily bought each of her friends a pair of socks that cost $5.50. How much would she pay for 3 pairs of socks?
$16.50
17m = 289
m = 17
3(k - 3) = 9
k = 6
Jason has 120 pieces of art. He puts 5% of them in an art show. How many pieces of art does Jason put in the art show?
6
The ratio of chaperones to students on a field trip is 2 : 7. There are 14 chaperones on the field trip. In all, how many chaperones and students are on the field trip?
63
k / 35 = 4
k = 140
-4x + 7 = 15
x = -3
Mary buys a laptop that originally costs $1,340. It is on sale for 15% off. What is the final price?
$1,139
A bakery charges $45 for 3 boxes of donuts. If the relationship between the number of boxes, (b), and total cost, (c), is proportional, write an equation that represents the relationship between b and c.
15b = c
8/d = 2
d = 4
11.19 = 4.59 + 6x
x = 1.1
Alison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?
434