homework helper, page 302 1.) mr. nelson’s class recently took a test. he made a list of the...

Homework Helper, Page 3021.) Mr. Nelson’s class recently took a test. He made a list of the scores.

66, 79, 76, 95, 55, 82, 60, 85,93, 76, 63, 96, 75, 82, 71

Find all three measures of central tendency for the test scores.

Start by putting all the scores in numerical order from least to greatest.55, 60, 63, 66, 71, 75, 76, 76, 79, 82, 82, 85, 93, 95, 96

Range(The difference between the largest and smallest numbers in the set.)

96 – 55 = 41Median (The middle number in the set) = 76

Mode (the number(s) that appear the most) = 76 and 82Both of these numbers appear twice.

2.) Create a stem plot from the test score data in number 1.

66, 79, 76, 95, 55, 82, 60, 85,93, 76, 63, 96, 75, 82, 71

5 56 0 3 67 1 5 6 6 98 2 2 59 3 5 6

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Tens digit Ones digit

Homework Helper, Page 621.) It costs Tia $450 to purchase food to cater a picnic. She gets paid $725.

a.) How much money did she make as profit?Money made – Costs to cater = Profit

$725 – $450 = $275

b.) What percent of profit is this?$275 - Profit made after costs$725 - Total amount of money made

$275 ÷ $725 = 0.379 x 100 = 37.9% Approximately 38% of profit

2.) Noah wants to buy a laptop that he sees for $799. By the time he goes to buy it, the price has increased to $1050. a.) Find the percent of increase of the laptop.

Final amount –Original amount = $1050 - $799 = $251 Original amount $799 $799

$251 ÷ $799 = 0.31 x 100 = 31% of increase

b.) If the price increases by another 5%, what will be the additional markup and final sale price?

$1050 x 5% = $1050 x 0.05$52.50 - Additional Markup$1050 + $52.50 = $1102.50 - Final Sale Price


3.) A video game originally priced at $65.50 is on sale at a 15% discount.a.) What is the amount of the discount and the final sale price?

Original price x percent discount = Discount$65.50 x 15% = $65.50 x 0.15$9.825 (round up) = $9.83 -> This is the discountOriginal price – Discount = Sale price$65.50 - $9.83 = $55.67 -> This is the final sale price

b.) Would it be a better or worse deal if the store had simply lowered the original price to $55.95? Use percent of decrease to explain.

Percent of decrease = Final price – Original price Original price

Percent of decrease = $55.95 – $65.50 = -$9.55$65.50 $65.50

Percent of decrease = -0.1458 = -14.6%


4.) Convert each number to the specified form.

a.) 107 (percent) Since it’s over 100, the numerator is your percent = 107%100

b.) 345% (fraction) Put the percent over 100 = 345100

c.) 225% (decimal) Divide by 100 = 2.25

d.) 1.42 (percent) Multiply by 100 = 142%

e.) 0.0047 (percent) Multiply by 100 = 0.47%

f.) 0.3% (decimal) Divide by 100 = 0.003

g.) 0.08% (fraction) Put the percent over 100 = 0.08 100

h.) 3 (percent) Divide the numerator and denominator by 10 to get 100 as your 1000 denominator = 0.3%

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5.) A realtor sells a house for $460,000. If her commission is 3%, how much money does she make as commission?

Commission is a form of payment rendered to an agent for services rendered. It is generally a set percentage of how much money is exchanged during these services.

Amount of money exchanged x Commission percent = Commission earned

$460,000 x 3% = $460,000 x 0.03

$13,800


6.) Maria takes out a loan for $30,000 to buy a car. If her bank charges 5.4% simple interest, how much total interest will she pay in 3 years?

Use the formula I = prtp = principal ($30,000)r = rate (5.4% or 0.054)

t = time in years (3)

I = $30,000 x 0.054 x 3I = $4,860


7.) Gage must choose between two banks for investing his money that both offer compound interest. Bank 1 offers a 3.9% interest compounded quarterly, and Bank 2 offers 4.3% interest compounded semi-annually.

a.) Show how much money Gage would have in his account after 2 years at each bank if he invests $1,200.

First we have to know the difference between simple interest and compound interest and what quarterly and semi-annually mean.

Simple interest – Interest that is paid on the principal alone.

Compound interest – Interest calculated on the total principal plus the interest earned or owed during the previous time period. This interest is not going to be multiplied by the same amount in the account/loan every time.

Interest that is compounded quarterly means that it is calculated 4 times each year.Interest that is compounded semi-annually means it is calculated 2 times each year.

Let’s take one bank at a time, using the I = prt formula.


7.) Gage must choose between two banks for investing his money that both offer compound interest. Bank 1 offers a 3.9% interest (Rate) compounded quarterly (Time in months, 3/12 or 0.25).

a.) Show how much money Gage would have in his account after 2 years at each bank if he invests $1,200 (Principal).

1st Year 2nd Year


1st QuarterI = $1,200 x 0.039 x 0.25I = $11.70$1,200 + $11.70 = $1,211.70

2nd QuarterI = $1,211.70 x 0.039 x 0.25I = $11.81$1,211.70 + $11.81 = $1,223.51

3rd QuarterI = $1,223.51 x 0.039 x 0.25I = $11.93$1,223.51 + $11.93 = $1,235.44

4th QuarterI = $1,235.44 x 0.039 x 0.25I = $12.05$1,235.44 + $12.05 = $1,247.49

1st QuarterI = $1,247.49 x 0.039 x 0.25I = $12.16$1,247.49 + $12.16 = $1,259.65

2nd QuarterI = $1,259.65 x 0.039 x 0.25I = $12.28$1,259.65 + $12.28 = $1,271.93

3rd QuarterI = $1,271.93 x 0.039 x 0.25I = $12.40$1,271.93 + $12.40 = $1,284.33

4th QuarterI = $1,284.33 x 0.039 x 0.25I = $12.52$1,284.33 + $12.52 = $1,296.85

Year 1 $1,247.49

Year 2 $1,296.85

Now let’s look at Bank 2.

7.) Gage must choose between two banks for investing his money that both offer compound interest. Bank 2 offers 4.3% interest (Rate) compounded semi-annually (Time in months, 6/12 or 0.5).

a.) Show how much money Gage would have in his account after 2 years at each bank if he invests $1,200 (Principal).

1st Year 2nd Year


1st half of the yearI = $1,200 x 0.043 x 0.5I = $25.80$1,200 + $25.80 = $1,225.80

2nd half of the yearI = $1,225.80 x 0.043 x 0.5I = $26.35$1,225.80 + $26.35 = $1,252.15

1st half of the yearI = $1,252.15 x 0.043 x 0.5I = $26.92$1,252.15 + $26.92 = $1,279.07

2nd half of the yearI = $1,279.07 x 0.043 x 0.5I = $27.50$1,279.07 + $27.50 = $1,306.57

Year 1 $1,252.15

Year 2 $1,306.57

7.) Gage must choose between two banks for investing his money that both offer compound interest. Bank 1 offers a 3.9% interest compounded quarterly, and Bank 2 offers 4.3% interest compounded semi-annually.

b.) Which bank should Gage use and why?


Bank 1

Year 1 $1,247.49

Year 2 $1,296.85

Bank 2

Year 1 $1,252.15

Year 2 $1,306.57

Look at the totals from the two banks side-by-side. Which bank do you think he should choose?

Percent EstimationsRemember, when the directions say to estimate, you should round the numbers to nicer numbers, that are easier to work with, before you get started. (Think multiples of 5 or 10.)

Original problem Rounded numbers Estimated answer1.) 24% of 36 25% of 40 10

2.) 81% of 25 80% of 25 20

3.) 11% of 67 10% of 70 7

4.) 150% of 179 150% of 180 120

5.) 67% of 450 70% of 450 315

6.) 79% of 590 80% of 600 480

homework helper, page 302 1.) mr. nelson’s class recently took a test. he made a list of the...

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