Unit Rate
Proportionality
Percentages
Statistics & Probability
Mixed Bag
100
Timmy times his walk home as 0.7 hrs. He then uses google maps to find the distance from school to home is 1.4 miles. At what rate does Timmy walk home?
Timmy walks home at 2 mph.
100
Does this graph represent a proportional relationship. Explain how you know in at least 1 complete sentence.
Yes, the graph is a straight line through the origin.
100
A salesman earns a 15% commission on each sale.
Today he sold a car for $23,500.
How much commission did she earn?
Commission = 15% of $23,500
Commission = $3,525
100
Find the median: 10, 8, 10, 12, 19, 14, 18
8, 10, 10, 12, 14, 18, 19
Med = 12
100
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Give the coordinates for a point on this graph.
A (3,4)
B (3,-4)
C (4,3)
D (3,0)
E (0,3)
F (4,-3)
G (-3,4)
H (-3,-4)
200
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A recipe uses 3/4 cup of sugar to make 5/2 batches.
How many cups of sugar are used per batch?
3/4 divide 5/2 = 6/20 = 3/10=0.3
The recipe uses 3/10 (0.3) cups of sugar per catch.
200
Is this relationship proportional?
If yes, what is k? If no, why not?
It is proportional.
k=5/15 = 0.333pounds of apples per dollar dollars per apple
k = 15/5=3 dollar per pound
200
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You buy a shirt on sale for $42. The original price of the shirt is $60. What percent was the discount?
$60 - $42 = $18 [discount]
18/60 = 0.3 = 30%
There was a 30% discount.
200
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Find the IQR:
4, 6, 9, 10, 13, 15, 18, 20, 24
Q1 = 7.5
Q3 = 19
IQR = 11.5
200
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[each worth 100 pts]
Where is Mr. Richbart from?
Where is Mr. Seay from?
Buffalo, NY
&
Washington DC
300
Store A sells 6 granola bars for $4.50.
Store B sells 10 granola bars for $8.00.
Which store has the better price per granola bar?
Store A: 4.50÷6=0.75
Store B: 8.00÷10=0.8
Store A has the better price at $0.75 per granola bar (cheaper than $0.80 per bar).
300
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A proportional graph passes through (2,7), (4,14), and (6,21).
Write the equation that describes this line.
k=7/2=3.5
y=k(x)
y=3.5x
300
An 8% sales tax, is applied to a tablet costs $237.50.
What was the sale price?
8% of $237.50 = $19 = tax
The sale price is $256.50.
300
Create a 5-number summary for this data
4, 7, 9, 12, 15, 18, 21, 25
Min = 4 | Q1 = 8 | Med = 13.5
Q3 = 19.5 | Max = 25
[values for a box plot]
300
A rectangular prism has a width of 4 in, a height of 7 in and a length of 10 in.
What is the volume of the prism is cubic inches?
4 in x 7 in x 10 in =
280 i n^3
400
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Gym A charges $25 for 5 visits.
Gym B charges $42 for 7 visits.
How much money would I save if I chose to visit gym A instead of gym B 20 times?
Gym A: $5 per visit
Gym B: $6 per visit
Save $1 per visit.
I would save $20 over 20 visits.
400
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Is this relationship proportional?
If yes, what is k? If no, why not?
It is not proportional. Not every row of the table has the same constant of proportionality.
400
Last year chess club had 24 members. This year, chess club has 30 members.
What is the percent increase?
6/24=0.25=25%
There was a 25% increase from last year to this year.
400
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Two samples have the same mean.
School A IQR = 2, School B IQR = 7.
Which has more variability? Explain how you know
School B has more variability, I know this because their IQR is larger meaning data is more spread.
400
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A bag has 4 red, 3 blue, 5 green tiles.
What is P(blue or green)?
Give your answer as a simplified fraction.
8/12=2/3
500
A catering company is comparing two food suppliers:
- Supplier A provides 18 sandwiches for $27
- Supplier B provides 25 sandwiches for $40
The company orders 90 sandwiches from the supplier with cheaper sandwiches. Which do they order from? How much money does the company spend?
Supplier A:
27÷18=1.50
90×1.50=135
Supplier B:
40÷25=1.60
90×1.60=144
They spent $135 for 90 sandwiches from supplier A.
500
The width of a rectangle 6 2/3 inches. The length of the rectangle is twice the width. What is the perimeter of the rectangle?
length = 13 1/3 inches.
Perimeter = 6 2/3 + 13 1/3+ 6 2/3+13 2/3
Perimeter = 40 inches
500
Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that rate, how much would he pay in total (after tax) for an item that costs $58.00 before tax?
Tax rate = 2.94/42=0.07=7%
7% of 58 = 4.06
58 + 4.06 = 62.06
Mick would pay $62.06 after tax.
500
Two dice are rolled.
What is the probability that the sum of the numbers is greater than 9?
36 total outcomes
6/36 = 1/6
500
Students in a class are recording the number of words they can type per minute each semester during the school year. The box plots below show the results for two semesters.
What is the difference in the median number of words typed per minute from Semester 1 to Semester 2 ?
Look at the middle of each box plot.
The difference in medians is 5 words per minute.