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.