Unit rates
$3.75 / 3 markers = $1.25 per marker
A scale on a map says 1 inch = 12 miles. The distance between two cities on the map is 4 inches. What is the actual distance?
12 x 4 = 48 miles
The equation C = 0.89a represents the cost per pound of apples. Explain what the constant of proportionality is and what it means.
$0.89 means the money per pound of apples
Max's lunch costs $15. There is a 5% sales tax added to the price. How much money was the tax?
How do you know when a table is proportional? YOU MUST USE MATH VOCABULARY. DONT JUST SAY THE NUMBER
When the unit rate is the same
Michael works 4 hours and earns $102. At this rate, how much money does he earn per hour?
$102 / 4 = $25.50 per hour
The height of a building on a scale is 14.5 centimeters. The scale on the blueprint is 1 centimeters = 4 meters. What is the actual height, in meters?
14.5 x 4 = 58 meters
Mr. Schuerlein buys 2 jackets for $275.00. Write an equation to show a proportional relationship between the cost,y and number of jackets, x.
$275 / 2 = $137.50 per jacket
y = 137.50x
The number of people at the store is 500 during the morning. During the afternoon, there is a 10% decrease than in the morning. How many people went to the store in the afternoon?
500 x 10% = 50
500 - 50 = 450 people in the afternoon
The bill for a lunch of two people is $50.00. There is a 15% gratuity left on the bill. How much is the total bill?
$50.00 x 15% = $7.50
$50.00 + $7.50 = $57.50 total
There is 1/2 cups of flour and 3/4 teaspoons of sugar for a smoothie. At this rate, how much sugar is used for 1 cup of flour?
3/4 / 1/2 = 1.5 teaspoons of sugar for 1 cup of flour
The scale of a model train says that 1 inch = 14 yards. If the actual train is 42 yards, how long is the train on the blueprint?
42 / 14 = 3 inches
The number of people at a class is proportional to the number of classes. In VA, there are 248 people in 8 classes. Write an equation to show how many people there are per class.
248 / 8 = 31 people per class
y = 31x
There are 20 people in the class on Monday. On tuesday, there are 18 people. What is the percent change? YOU MUST SAY IF IT IS A DECREASE OR INCREASE
20 -18 = 2/20 = 0.1 x 100 = 10% decrease.
Kristian reads 17.5 pages in 1/2 hour. At this rate, how many pages can he read in 2 hours?
17.5 / 3 = 35 pages in 1 hour
35 x 2 hours = 70 pages in 2 hours.
Store A sells 4 loafs of bread for $8. Store B sells 3 loafs of bread for $9. Which store offers the cheaper unit price and by how much more?
Store A: $8 / 4 = $2 per loaf
Store B: $9 / 3 = $3 per loaf
Store A is cheaper by $1
The scale on a map says that 2 inches = 14 miles. The distance between two cities on a map is 4 inches. What is the actual distance?
scale: 14 miles / 2 inches = 7 miles per inch
7 x 4 = 28 miles
A pound of peaches cost $1.89. Write an equation comparing the cost, C to number of peaches, p.
C = 1.89p
Jamal invests $1,000 in a new account. He earns a 5% simple interest for every year. How much money will he earn in total after 4 years?
$1,000 x 5% = $50 x 4 = $200 in interest
$1,000 + $200 = $1,200 in total
100% - 15% = 85%
1x - 0.15x
0.85x
Michael reads 2 pages in 5 minutes. At this rate, how many pages does he read in 1 hour?
2 pages / 5 mins = 0.4 pages in 1 min
0.4 x 60 minutes = 24 pages in 1 hour.
A squared base has a length of 2 inches. The blueprint indicates that 1 inch = 4 meters. What is the actual area of the base, in squared meters?
Hint: Area = L x w
4 x 2 = 8 meters
Area: 8 x 8 = 64 meters squared
Raul paid $45.00 for 3 tickets. Write an equation comparing the price, P per ticket, t.
Using your equation, how much will you pay for 5 tickets?
$45/ 3 = $15 per ticket
P = 15t
P = 15(5) = $75
$125 x 25% = $31.25
$125 - $31.25 = $93.75
$93.75 x 10% = $9.375 + $93.75 = $103.125 or $103.13
A toy has a price of x dollars. There is a 15% increase in price. One expression that can be used to represent the price with increase 1.15x. What is the other expression?
1x + 0.15x