Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 8 Module 16 Quiz Answer Key.
Texas Go Math Grade 8 Module 16 Quiz Answer Key
Texas Go Math Grade 8 Module 16 Ready to Go On? Answer Key
16.1 Repaying Loans
Dustin is taking out a loan for $2000 and wants to know how much money he will save by taking a 2-year loan at 14% interest instead of 20% interest. (Use an online calculator.)
Question 1.
What is the total repayment for the 20% loan?.
Answer:
Amount of loan = $2000
Interest Rate = 20%
Time Period = 2 year or 24 months
The total repayment for the 20% loan is $193.40
Question 2.
What is the total repayment for the 14% loan?.
Answer:
Amount of loan = $2000
Interest Rate = 14%
Time Period = 2 year or 24 months
The total repayment for the 14% loan is $156.52
Question 3.
How much can Dustin save?
Answer:
The total repayment for the 14% loan is $156.52
The total repayment for the 20% loan is $193.40
$193.40 – $156.52 = $36.88
Thus Dustin save $36.88
16.2 Saving and Investing
Question 4.
Cecilia has $800 in an account earning 4.5% simple interest. How much more interest would her account earn in 7 years with annually compounded interest?
Answer:
Given,
Cecilia has $800 in an account earning 4.5% simple interest.
Initial amount = $800
Interest Rate = 4.5%
Period = 7 years
Total interest earned = $11,949.03
16.3 Analyzing Financial Situations
Question 5.
Byron has $250 in his savings account. He starts a new job next week and spends $300 on tickets to a sporting event to celebrate. Is his decision financially responsible or financially irresponsible? Explain.
Answer: Irresponsible, because Byron does not have a steady source of income.
16.4 Estimating College Costs and Payments
Question 6.
At the beginning of each of the last two years, Alfonso put $4200 from his earnings as a part-time pizza delivery driver into a college savings account earning 2.4% interest compounded annually. Complete the table to determine how much money Alfonso has saved.
Answer:
Texas Go Math Grade 8 Module 16 Mixed Review Texas Test Prep Answer Key
Selected Response
Question 1.
Which interest rate and time period result in the lowest total loan repayment for a $4000 loan earning simple interest?
(A) 3 years at 11%
(B) 3 years at 13%
(C) 4 years at 8%
(D) 4 years at 11%
Answer:
(A) 3 years at 11%
Formula for simple interest equal to SI = PTR/100
Here,
P = actual money = $4000
T = time = 3 years.
R = interest rate = 11%
Simple interest for 3 years = $4000 × 3 × 11/100 = $1320
(B) 3 years at 13%
Formula for simple interest equal to SI = PTR/100
Here,
P = actual money = $4000
T = time = 3 years.
R = interest rate = 13%
Simple interest for 3 years = $4000 × 3 × 13/100 = $1560.
(C) 4 years at 8%
Formula for simple interest equal to SI = PTR/100
Here,
P = actual money = $4000
T = time = 4 years.
R = interest rate = 8%
Simple interest for 4 years = $4000 × 4 × 8/100 = $1280
(D) 4 years at 11%
Formula for simple interest equal to SI = PTR/100
Here,
P = actual money = $4000
T = time = 4 years.
R = interest rate = 11%
Simple interest for 4 years = $4000 × 4 × 11/100 = $1760.
The interest rate and time period result in the lowest total loan repayment for a $4000 loan = $1280
Option C is the correct answer.
Question 2.
Which equation represents a non proportional relationship?
(A) y = -5x
(B) y = 5x + 0
(C) y = \(\frac{1}{5}\)x
(D) y = 5x – 5
Answer: y = \(\frac{1}{5}\)x
Explanation:
Let the ordered pair is (5, 5)
y = \(\frac{1}{5}\)x
5 = \(\frac{1}{5}\) × 5
5 = 1
Thus As y increases x decreases which means that the equation is nonproportional.
So, option C is the correct answer.
Question 3.
Jemarcus starts with $1200 in a college savings account. His account earns interest at a rate of 1.8% compounded annually. How much money is in the account after 6 years?
(A) $1221.60
(B) $1265.97
(C) $1329.60
(D) $1335.57
Answer:
Given that,
Jamarcus starts in a college savings account = $1200
The interest at the rate = 1.8%
Formula for compound interest = A = P(1 + R/1000)n
P = actual money = $1200
n = time = 6 years.
R = interest rate = 1.8%
Compound interest for 6 years = A = 1200(1 + 1.8/100)6
= 1200(1 + 0.018)6
= 1200(1.018)6
= 1200(1.1129)
The total money is in the account after 6 years= 1335.48
Option D is the correct answer.
Question 4.
Which equation relates x and y for the set of ordered pairs (4, 1), (8, 2), (12, 3)?
(A) y = \(\frac{1}{4}\)x
(B) y = 4x
(C) y = x – 3
(D) y = x – 9
Answer:
(A) y = \(\frac{1}{4}\)x
(4, 1)
1 = \(\frac{1}{4}\)4
1 = 1
(8, 2)
2 = \(\frac{1}{4}\)8
(12, 3)
3 = \(\frac{1}{4}\)12
3 = 3
So, Option A is the correct answer.
Question 5.
Danielle received a gift card to a clothing store and uses it to buy a pair of jeans. Which payment method did she use?
(A) cash
(B) credit card
(C) debit card
(D) stored-value card
Answer:
Given that,
Danielle received a gift card to a clothing store and he uses it to buy a pair of jeans.
The payment method he can use is a cash or credit card.
The credit card means it is a card issued by the bank to the holder to purchase goods or services.
Option A and B is the correct answer.
Question 6.
Ashley is considering attending the state university to obtain a 4-year bachelor’s degree. For one year, the tuition and fees are $9890, room and board are $8250, and books are $680. What will be the total of these costs over the 4 years of obtaining the degree?
(A) $18,140
(B) $18,820
(C) $37,640
(D) $75,280
Answer:
Given that,
The total amount for 1 year Ashley’s tuition and fees = $9890.
The amount for 4 years of tuition and fees = $9890 × 4 = $39,560
The total amount for 1 year Ashley room and board = $8250.
The amount for 4 years of room and board = $8250 × 4 = $33,000
The total amount for 1 year Ashley books = $680.
The total amount for 4 years of books = $680 × 4 = $2720
The total of these costs over the 4 years of obtaining the degree = $39,560 + $33,000 + $2720 = 75,280.
Option D is the correct answer.
Question 7.
Triangle ABC, with vertices A(2, 3), 8(4, -5), arid C(6, 8), is reflected across the x-axis to form triangle A’B’C’. What are the coordinates of triangle A’B’C’?
(A) A'(2, -3), B'(4, 5), C'(6, -8)
(B) A'(-2, 3), B'(-4, -5), C'(-6, 8)
(C) A'(-2, -3), B'(-4, 5), C'(-6, -8)
(D) A'(2, -3), B'(4, -11), C'(6, 2)
Answer:
The reflection of the point (x,y) on the x- axis is (x,-y).
The vertices A(2, 3), 8(4, -5), and C(6, 8) reflected on the x axis are A'(2, -3), B'(4, 5), C'(6, -8).
Option A is the correct answer.
Gridded Response
Question 8.
A cone-shaped cup has a height of 3 inches and a volume of 9 cubic inches. What is the length in inches of the diameter of the cone? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
Given that,
Height of the cone-shaped cup = 3 inches.
The volume of the cone-shaped cup = 9 inches.
The formula for the radius of the cone = square root of (3× V/πh)
= square root of (3 × 9/3.14 × 3)
= square root of (27/9.42)
= square root of (2.86)
= 1.691
Therefore the length of the cone = 2πr
= 2 × 3.14 × 1.691
= 10.61
The length of the diameter of a cone-shaped cup is 10.61.