Final Exam – Transitional Mathematics
Final Exam is worth 100 points in total.
All questions must show all work and must have justifications to receive credit. There will be no credit given for only answers.
Clearly and neatly label your answers.
Good Luck!!
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FINAL EXAM GRADE: __________
Question 1: Steve decided to deposit $3,285 into a savings account with 4.5% interest, compounded quarterly. Assuming that no withdrawals are made, how much will he have in the account after 4 years?
Question 2: You currently have $6,000 saved in your bank account. You have decided to use $4200 for your upcoming spring break trip. What percentage of your savings did you use?
Question 3: Luis will use Airbnb to book his accommodation in Colombia. However, he is unsure of how many nights he will stay in Colombia.
Write an equation that will allow Luis to calculate what his total cost will be if the cost of his hotel is $78 per night. Airbnb will be charge Luis $16 in service fees.
Create a table of values describing the total cost of Luis’ stay for the first 4 nights.
Graph the equation.
Interpret the slope and y intercept.
Question4: Berkeley College students have been surveyed to determine if they prefer to work in groups or individually for projects. There are 3 students who prefer to work in groups for every 4 students who prefer to work individually. If there were 2,100 students who prefer to work in groups, how many students were surveyed in total?
Question 5: Each year an organization raises money to offer Berkeley College students scholarships. They currently have raised $21,300. This represents 65% of the money they raise. Determine the amount of money the organization will raise in total.
Question 6: The frequency distribution below indicates the scores of 30 students who took the final exam for Math CSK 85 last semester.
Construct the relative frequency table for the data.
Scores
Number of people
Relative Frequency
61-70
3
71-80
12
81-90
13
91- 100
2
Total
Construct a histogram of the relative frequency distribution
Question 7: Use the Box-and-Whisker plot to display the five-number summary of the following data: “ 48 28 39 51 33 37 59 24 35”
Question 8: A pair of fair dice is rolled.
Make a list of all possible outcomes to determine the sample space of this experiment.
What is the probability that the sum of the two dice equals six?
Question 9: The data set below is a sample of the speeds of 10 cars passing a construction site on a particular day. 58, 51, 50, 50, 57, 52, 51, 48, 33, 58.
Is this data discrete or continuous? Explain your answer
Find the mean and the median.
Is there a mode? Why or why not?
Question 10: The following is a table of the ages, in months, (X) of 7 infants and the number of hours (Y) each slept in a day.
X
1.5
2.0
7.0
5.0
4.5
6.0
9.0
Y
15
14.5
13.5
13.0
14.0
11.5
12.5
Draw a scatter plot.
Does this plot show a positive, negative, or no relationship between an infant’s age in months and the number of hours sleep?
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