Download Keystone Remediation Packet Week 5

Keystone Remediation Packet Week 5
Coordinate Geometry and Data Analysis
Assigned: Friday, May 5
Due: Friday, May 12
You must show all work to receive full credit
1. Jeff’s restaurant sells hamburgers. The amount charged for a hamburger (h) is based on the
cost for a plain hamburger plus an additional charge for each topping (t) as shown in the
equation below.
h = 0.60t + 5
What does the number 0.60 represent in the equation?
a) the number of toppings
b) the cost of a plain hamburger
c) the additional cost for each topping
d) the cost of a hamburger with 1 topping
2. A graph of a linear equation is shown below.
Which equation describes the graph?
a) y = 0.5x – 1.5
b) y = 0.5x + 3
c) y = 2x – 1.5
d) y = 2x + 3
3. The below relationship is linear. Predict the number of calculators sold in 2012.
a)
b)
c)
d)
642
656
670
684
A scatter plot is a graph of plotted points that show the relationship between two sets of
data.
In this example, each dot represents one person's weight versus their height.
You can also draw a "Line of Best Fit" (also called a "Trend Line") on your scatter plot where
you try to have the line as close as possible to all points, and as many points above the line
as below.
4. The scatter plot below shows the cost (y) of ground shipping packages from Harrisburg, PA,
to Minneapolis, MN, based on the package weight (x).
Which equation best describes the line of best fit?
a) y=0.37x + 1.57
b) y = 0.37x + 10.11
c) y = 0.68x + 2.32
d) y = 0.68x + 6.61
5. Vy asked 200 students to select their favorite sport and then recorded the results in the bar
graph below.
Vy will ask another 80 students to select their favorite sport. Based on the information in
the bar graph, how many more students of the next 80 asked will select basketball rather
than football as their favorite sport?
a)
b)
c)
d)
10
20
25
30
6. The daily high temperatures, in degrees Fahrenheit (◦F), of a town are recorded for one
year. The median high temperature is 62◦F. The interquartile range of high temperatures
is 32. Which is most likely to be true?
a)
b)
c)
d)
Approximately 25% of the days had a high temperature less than 30◦F.
Approximately 25% of the days had a high temperature greater than 62◦F.
Approximately 50% of the days had a high temperature greater than 62◦F.
Approximately 75% of the days had a high temperature less than 94◦F.
7. You bake cookies for a school fundraiser. In the morning, you sell 6 cookies. During lunch,
you sell one-half of the cookies you have left. In the afternoon, you sell 19 cookies. If you
are left with 6 cookies at the end of the day, how many cookies did you start with?
a)
b)
c)
d)
68
62
56
50
A box-and-whisker plot can be useful for handling many data values. They allow people to
explore data and to draw informal conclusions when two or more variables are present. It
shows only certain statistics rather than all the data. The five-number summary consists of the
median, the quartiles, and the smallest and greatest values in the distribution. Immediate
visuals of a box-and-whisker plot are the center, the spread, and the overall range of
distribution.
Refer to the box and whisker plot below for questions 7 & 8.
8. Using the above box and whisker plot, what is the median for the data?
a) 51
b) 20
c) 48
d) 58
9. Using the above box and whisker plot, what is the best estimate of the percentage of the
data less than 42?
a) 10%
b) 25%
c) 33%
d) 50%
A stem and leaf plot is a table where each data value is split into a "leaf" (usually the last digit)
and a "stem" (the other digits). The "stem" values are listed down, and the "leaf" values go
right (or left) from the stem values. The "stem" is used to group the scores and each "leaf"
indicates the individual scores within each group.
10. The points scored by a football team are shown in the stem-and-leaf plot below.
What was the median number of points scored by the football team?
a) 24
b) 27
c) 28
d) 32
Refer to the spinner below for questions 11 & 12.
11. Find P(even and not shaded).
a)
b)
1
6
1
3
c) 0
d)
5
6
12. You toss a coin and roll a number cube. Find P(heads and an even number).
a)
b)
c)
1
12
1
4
1
6
d) 1
13. Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3
blue marbles. You return the first marble to the bag and then choose again.
Find P(red and blue).
a)
b)
c)
d)
3
5
7
10
1
2
3
50
14. You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at
random. Without replacing the bill, you choose a second bill at random.
Find P($10 then $1).
a)
b)
c)
d)
1
12
5
81
5
72
2
27
15. A basket contains 11 pieces of fruit: 4 apples, 5 oranges, and 2 bananas. Jonas takes a piece
of fruit at random from the basket, and then Beth takes a piece at random. What is the
probability that Jonas will get an orange and Beth will get an apple?
a)
b)
c)
d)
9
10
9
11
20
121
2
11