Modeling with Sequences and Series — Unit test Answers

Brenda already has $200 to put toward the purchase of a new laptop that sells for $450. She will save $50 each month, starting next month, until she can buy the laptop. Which of the following represents the amounts she will have each month, starting next month, until she can afford to buy the laptop (assuming there is no sales tax)?

A grocery store displays cans of soup in rows, with one can on the top row, as shown below.A larger display uses the same pattern as the one above. Which expression can be used to find the total number of cans in rows 22 through 25 in the larger display?

Consider the pattern below.What does this pattern represent?

Tyrone opens a savings account by depositing $75 in August. He increases each month’s deposit by $10 compared to the previous month’s deposit. Which of the following shows the amounts in Tyrone’s account from August through December?

Mr. Bryant wants to distribute a copy of a chart to his students. He reduces the area of the chart a number of times on a photocopier, as shown in the table below.Reductions of Chart and Percent of Original AreaNumber of Reductions1234Percent of Original Area50%25%12.5%6.25%If the fifth reduction follows the pattern in the table, which of the following represents the area of the image?

On January 1, 2010, Lucita bought a car for $25,000. If the car depreciates at a rate of 15% per year, which equation can be used to find the value of the car on January 1, 2018?

A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the light coming from the surface. Which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

A company has a property tax bill for $6,000 this year. It expects property values to rise by 8% each year, which will increase the property tax bill by 8% each year. To the nearest dollar, what is the expected amount of property taxes the company will pay for this year and the upcoming three years?

Alberto is stacking firewood. He puts 20 logs on the bottom row. Then he stacks each row so that there is 1 fewer log than the row below. Which of the following can be used to determine the total number of logs in 10 rows?

A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?

There are 15 rows of seats in an auditorium. The first row has 20 seats, and each of the other rows has 5 more seats than the row immediately in front of it. Which of the following is formed by the list of the number of seats in each row?

Juliana wrote the terms below.–8, –4, 0, 4, 8, 12What do these terms represent?

During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. The first caller has a chance to win $100. Which equation represents the amount the 10th caller receives if this caller is the first to answer the question correctly?

A student wrote the terms below.What do these terms represent?