Chapter 11 Quiz A

Which of the following is a geometric sequence?

• -1, -3, 9, 27, …

• -1, 2, -4, 8, …

• 1, 4, 9, 16, …

• 1, 3, 5, 7, …

The first term of a geometric sequence is -2. The common ratio is 4. What is the 6th term?

• -8,192

• 2,048

• -2,048

• 8,192

If a ball is dropped from a height of 18 feet, the function f(x) = 18(0.75)^x gives the height in feet of each bounce, where x is the bounce number. What will be the height of the 7th bounce to the nearest tenth of a foot?

• 0.2

• 2.4

• 1.8

• 3.2

A population of 200 animals has a growth rate of 1.03% each year. At this rate, the function f(x) = 200(1.03)^x gives the population in x years. What will the population be after 14 years?

• 3,000

• 300

• 200

• 2,000

The graph of which function is shown above?

• y = -2(2)^x

• y = 2(2)^x

• y = -2(1/2)^x

• y = 2(1/2)^x

$1200 is invested at 3% compounded quarterly. What is the total amount, to the nearest dollar, after 5 years?

• $1,236

• $1,208.64

• $1,245

• $1,201.35

Chess club earnings are $40 per month and will increase at a rate of 2.5% each month. Which function describes this situation?

• y = 40(0.75)^x

• y = 40(1.025)^x

• y = 40(0.975)^x

• y = 40(1.25)^x

Iodine-131 has a half-life of about 8 days. About how much is left from a 50 gram sample after 24 days?

• 0.195 grams

• 3.125 grams

• 0.781 grams

• 6.250 grams

Which of the following data sets is best described by a quadratic model?

• {(1, -2), (2, -4), (3, -6), (4, -8)}

• {(1, 2), (2, 4), (3, 6), (4, 8)}

• {(1, -1), (2, 2), (3, -4), (4, 8)}

• {(1, -1), (2, 2), (3, 7), (4, 14)}

Which kind of model best describes the data graphed above?

• linear

• quadratic

• exponential

• none of the above