Coordinate Planes
Percents
Graphs
Proportions
Wild
100
The graph below shows how the total cost, in dollars, to purchase grapes at a grocery store depends on the weight, in pounds.
What does the point (1.5,3) represent? Write the unit rate.
1.5 pounds for 3 dollars.
Unit Rate=2
100
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?
$35.44 Total
29.53(.20)=5.91
29.53+5.91=35.44
100
A movie critic rates movies on a scale of 4 stars (excellent) to 1 star (worthless). A summary of her ratings for 20 movies is shown in the table.
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
35
3 star ratings is 7 out of 20 reviewed. 7/20=.35=35%
new total is 100, so 100(.35)=35
100
The table below gives the price for several different slices of pie sold at a bakery.
Does this table represent a proportional relationship?
No
1x4=4
2x4=8
3x4=12
5x3=15
10x2.5=25
100
Triangle 1 is a scale drawing of triangle 2, as shown below.
Based on the information shown in these triangles, what is the length of the side x?
28
12x3.5=42
10x3.5=35
8x3.5=28
200
Victor sells bouquets of flowers at a farmers market. He earns a flat rate for each bouquet sold, shown on the graph below.
Using information from the graph, what would be the sales totals for these days?
Friday sold 12. Saturday sold 15. Sunday sold 7.
3-day total is 34.
Friday-$102
Saturday-$127.50
Sunday-$59.50
Total-$289
200
The store paid $4.50 for a book and sold it for $7.65. What is the profit as a percent of the cost to the store?
70%
7.65-4.5=3.15
3.15= 70% of 4.5
200
One hundred teenagers are sampled at random about how much time (in hours) they spend doing homework on a given night. The results are displayed in the graph below. Predict about how many teenagers out of 250,000 would spend 1 hour doing homework on a given night.
107,500 teenagers
250,000(.43)=107,500
1 hour=43%
43%->.43
200
A camel drank 2.5 gallons of water in 1/4 hour. What was the average rate in gallons per hour at which the camel drank?
10 gal/hr
1/4->2/4->3/4->4/4 4/4=1
2.5->5->7.5->10
200
The table shows how the cost of avocados is based on the number of avocados purchased.
Number of Avacados Cost($)
2 3
4 6
6 9
8 12
What is the cost of each avocado?
$1.50
300
Consider the line and triangles in the diagram below.
Write a statement that explains the relationship between the slope of the line of both triangles.
The smaller triangle has a slope of 2/3. The bigger triangle has a slope of 4/6, which simplifies to 2/3. They have the same reduced slope,2/3. They are on the same line, so they should have the same slope.
300
The original price of a toaster is $18.00. If the toaster is marked down 25%, what is the new price?
$13.50
18(.25)=4.5
18-4.5=13.50
300
Becca and Cecilia both work at a grocery store after school. Their paid hourly rates are shown in the graphs below.
Write the slope for each and determine who has a higher rate of money hourly.
Becca y=6.25x
Cecilia y=6.35x
Cecilia makes more money hourly by 10 cents.
300
The sign below advertises the cost of fruit at a roadside market.
What option is the better deal? Write the equation for both? Does the sale price proportional with the unit price?
1. Banana
2. Banana y=0.3x Apple y=0.5x
3. Banana: no Apple: yes
300
The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders. Which survey method is the best to use?
a) Survey 50 randomly selected eighth-grade students who participated in school sports last year.
b) Survey 50 randomly selected seventh-grade students at one of the middle schools.
c) Survey 50 randomly selected seventh-grade students who are participating in school sports this year.
d) Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.
d) Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.
400
The graph below shows the relationship between the number of color copies a copier makes (n) and the time it takes to make them (t).
Write the equation that represents this relationship?
t=2/5n OR t=0.4n
400
A record store is having a sale. CDs that were regularly priced at $14 are on sale for $10.50. What is the percentage of decrease in the price of the CDs?
25%
14-10.50=3.5
3.5/14=.25=25%
400
Justin’s pay is represented by this line graph.
How much is Justin paid for one hour of work?
7 dollars per hour
400
Adam made a scale drawing of the vegetable garden he is planning and it is shown below.
He wants to put fencing around the garden. Using a scale of 1 inch = 2.5 feet, write the perimeter, in feet, of the vegetable garden.
perimeter=75ft 1in=2.5ft
9in=22.5ft 2 sides, so multiply by 2. 22.5(2)=45
6in=15ft 2 sides, so multiply by 2. 15(2)=30
Total=75ft
400
Mr. Zeller chose a random group of 8 seventh-grade students. He asked them to write down the amount of money left in their school lunch accounts. Their responses are listed below.
$25.00, $34.60, $31.75, $14.10, $19.50, $20.50, $8.75, $13.80
Find Mean, Median, and Range of this data.
Mean=21
Median=20
Range=25.85
500
The three right triangles in the figure below are similar because each hypotenuse lies along the same line.
Write the correct response that corresponds with each statement on your team's whiteboard.
1. The slope of triangle C is larger than triangle B. (T/F)
2. The slope of triangle A and triangle B give the same value for the slope of the line. (T/F)
3. The coordinate pair for point E is:
4. The coordinate pair for point F is:
1. False
2. True
3. (6,5)
4. (14,1)
500
In order to help her save money for college, Latasha's grandparents deposited $10,000 into a savings account five years ago. Latasha has not made any withdrawals or deposits since then. The interest rate on the savings account is 3.75% each year.
Using simple interest, how much interest has accrued in Latasha's savings account? How much money would she have in total?
1. $1,875
2. $11,875
500
The graph below shows a random sampling of players’ heights in a junior basketball league.
There are a total of 160 players in the league. Based on the sample, how many of the players in the league have a height less than 5.5 feet?
56 Players
7 players out of 20 are less than 5.5ft which is 35%.
35% of the total of 160 is 56.
500
Mr. Harvey is planning to have a yard sale. He draws a scaled drawing of his rectangular driveway.
What is the actual area, in square feet, of Mr. Harvey’s driveway?
Area=770 squared feet
2.2(10)=22
3.5(10)=35
35(22)=770
500
Alyssa and James are running for 7th grade class president. Four students each polled 25 different students to predict the winner of the election. The poll results are shown below.
Poll Alyssa Votes James Votes
1 16 9
2 12 13
3 14 11
4 15 10
A total of 200 students will vote in the election. What is the range in the number of votes for Alyssa predicted by these four polls?
a) 43-57
b) 72-104
c) 96-108
d) 120-160
c) 96-108