Score for this attempt: 70 out of 100 Submitted Feb 18 at 11:50pm This attempt took 41 minutes.
Question 1 5 / 5 pts
This table lists the Median income for a county.
Median Income County Name
2001
2011
Gibson County
$51,517 $46,570
Find the Absolute Change in the Median Income for Gibson County from 2001 to 2011. Write your answer as a whole number of dollars, do not include units on your -4947
answer. Find the Relative Change in the Median Income for Gibson County from 2001 to -9.6
2011. Write your answer as a percent, rounded to the nearest tenth.
Answer 1: -4947 Correct Answer -4,947 Answer 2: -9.6 Correct Answer -9.6%
Question 2 5 / 5 pts
In 2015, an estimated 7,620,000 travel books and 4,660,000 humor books were sold.
-2,960,000
Compare the number of humor books to travel books using absolute change. Write your answer only as a positive or negative number (no units). Compare the number of humor books to travel books using relative change. Write your answer as a percentage rounded to the nearest tenth. Answer 1: -2,960,000 Correct Answer -2960000 Answer 2: -38.8 Correct Answer -38.8%
Question 3 5 / 5 pts You are charged $9.14 in total for a meal. Assuming that the local sales tax is 7.8%, what was the menu price of this item? Express your answer rounded correctly to the nearest cent. Do not include units with your answer. 8.47
Correct Answer 8.48 margin of error +/- 2%
Question 4 5 / 5 pts A company hopes to expand their business by 7% in the coming year. If they currently employ 57 people, how many people will the company employ after the expansion? Round your answer to the nearest whole person. Do not include units with your answer. 61
Correct Answer 61
Question 5 5 / 5 pts A new department store opened in January 2016. A graph of the income in the first several months is included below:
Considering the graph above, could we use this linear model to predict income of January 2025? Complete the sentence below by selecting the best of the available phrases. ["", ""]
because
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Answer 1: No Answer 2: we have one year of data and 2025 is 9 years beyond the scope of the model.
Question 6 5 / 5 pts At 12pm, the temperature was 57o F. By 5pm, the thermometer read 36o F. Assuming a constant change in temperature, calculate and interpret the unit rate of change (slope). From 12pm to 5pm, the temperature
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an average of
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.
Answer 1: decreased Answer 2: 4.2 Answer 3: degrees F Answer 4: hour
Question 7 5 / 5 pts
Ivy Tech tuition was $1986 in 2000 and $3090 in 2010. Calculate the slope, then complete the linear model that would predict the tuition for any year after 2000:
y=
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x 1986
Answer 1:
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110.4 Answer 2: + Answer 3: 1986
Question 8 0 / 5 pts
Consider the graph below:
Use the model to find the expected number of housing sales (in millions) for 4. Express your answer as a decimal rounded to the nearest thousandth. Do not include units with your answer. 4.989
Correct Answer 5.747
Question 9 0 / 5 pts Consider the table of values below. Calculate the associated growth/decay factor for the table of values provided. Time 0 1 2 3
Value 276.75 178.81 115.53 74.64
Write your answer as a decimal, rounded to the nearest hundredth.
0.27
Correct Answers 0.65 (with margin: 0)
Question 10 0 / 5 pts It has been estimated that the population of Indianapolis is growing at a rate of 0.9% per year. Assuming that population growth continues at this rate and the population of Indianapolis was 1,988,817 in January of 2016, estimate the expected population of Indianapolis in January of 2023. Round your answer to the nearest whole person. Do not include units on your answer. 2,042,999
Correct Answer 2,117,547
Question 11 5 / 5 pts The half-life of a radioactive substance is one day, meaning that every day half of the substance has decayed. Suppose you have 95 grams of this substance. Construct an exponential model for the amount of the substance remaining on a given day. Use your model to determine how much of the substance will be left after 4 days. Express your answer rounded correctly to the nearest tenth of a gram. Do not include units with your answer. 5.9
Correct Answer 5.9 margin of error +/- 2%
Question 12 5 / 5 pts A $450 smartphone depreciates 12% each year. Which of the following models the value of the phone after t years?
A = .88 t + 450
A = − 0.12 t + 450
A = 450 ( 0.12 ) ( t )
A = 450 ( 0.88 ) t
A = 450 ( 0.12 ) t
Question 13 5 / 5 pts In the rise of online shopping, malls are losing storefronts. The local mall started with 86 stores at the time that it was opened, but has consistently lost 6 stores per year for each year the mall has been open. Which of the following models represents the number of stores in the local mall at any given year, x?
-6x + 86 86 ( 0.94 ) x
86 ( − 6 ) x
86x - 6
0.94x + 86 – 6 ( 86 ) x
Question 14 5 / 5 pts Leo deposited $9,042.95 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest? Express your answer rounded correctly to the nearest cent. Do not include units on your answer. 3,471.79
Correct Answer 3,471.79
Question 15 0 / 5 pts Alexis buys groceries using her credit card. Her card has an APR of 19.99% and she must pay at least 5% of the balance at the end of each month. If her carry-over balance for groceries is $440.58, what would her finance charge be at the end of the month? Round your answer to the nearest cent. Do not include units on your answer. 5.65
Correct Answer 7.34
Question 16 5 / 5 pts Jerome has decided that he can afford a monthly mortgage payment of $715. He has been offered a 20 year mortgage at 4.5% interest. What formula could you type into Excel to determine what the largest mortgage loan he can afford? =PMV(.045,20,-715)
=PMT(.045/12,12*20,-715)
=FV(.045,12*20,-715) 715 ( 1 + 0.045 12 ) 12 × 20
=PV(.045/12,12*20,-715) = 0.45 12 × 20 + 715
Question 17 0 / 5 pts Miguel currently pays $950 for rent each month and has decided to purchase a home. The home he wants costs $156,000. He has a down payment of $25,000 and has already secured 4.75% on a 20-year mortgage. What would Miguel need to type into Excel to figure his monthly mortgage payment?
=
(0.0475/12, 20*12,
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["", "", "", "", "", ""] Answer 1:
)
PV Correct Answer PMT Answer 2: Correct Answer -131000
-25000
Question 18 5 / 5 pts Griffin is purchasing a home! He has agreed to 5.25% interest over 30 years; his mortgage is $128,918. If he pays $621.50 a month (no more, no less) each month for 30 years, how much will Griffin pay in interest over the lifetime of the mortgage? Round your answer to the nearest dollar. Do not include units on your answer. 94,822
Correct Answer 94,822
Question 19 5 / 5 pts Howard has enrolled in a 401(k) savings plan offered by his employer. He decides to deposit $150 to his account each month and his employer is matching 50% of his contributions. If his account pays 3.5% annually, what would you type into Excel to calculate the account balance after 35 years of saving? =
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( , 12*35 , )
Answer 1:
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FV Answer 2: 0.035/12 Answer 3: 12*35 Answer 4: -225
Question 20 0 / 5 pts Oscar is preparing to retire. His 401(k) currently has a balance of $248,797.42. If he's been depositing $192 each month for the last 35 years, how much has Oscar earned in interest so far? Round your answer to the nearest penny. Do not include units with your answer. 222,277.42
Correct Answer 168,157.42