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.

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?
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.  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
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
(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
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)
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. 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.

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