Algebra 1: Chapter 7 Test

What is it about the equation y = 2(9/7)^x that indicates that it is a model for exponential growth?

• The equation is growth because 2 is positive.

• The equation is growth because the factor is positive.

• The equation is growth because the factor is greater than one.

• The equation is growth because the exponent is always positive.

Consider the equation y=200(1.08)^x which models the increase in value of an autographed Annie program. Let y = the value of the item, let x = the number of years since the performance. What does the 1.08 in the equation indicate?

• The value of the item is increasing by $1.08 each year.

• The value of the item is increasing by 1.08% each year.

• The value of the item will increase to $200 1.08 years after purchase.

• The value of the item is increasing by 8% each year.

What is an asymptote?

• A special bag used by hikers and athletes to carry valuables.

• an imaginary vertical line that helps define the reflection of a graph.

• an imaginary horizontal line that helps define where the graph will approach, but never reach.

• another term for vertical intercept.

You are sick and your doctor prescribes a medication. One dose is 200 mg. Every half hour 30% of the medication leaves the body. If you take the first dose at 6 am, how many events/intervals have occurred by 9 am?

• 3

• 6

• 30

• 90

This graph models y = (0.2)^x - 3. Which statement describes what happens to the y value as x increases?

• As the value of x becomes very large, the value of y approaches - 0.2.

• As the value of x becomes very large, the value of y approaches -3.

• As the value of x becomes very large, the value of y approaches -2.

• As the value of x becomes very large, the value of y will gradually

  decrease to negative infinity.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ____, _____, _____, ...

• 32, 8, 2

• 1024, 2048, 4096

• 92, 66, 38

• 64, 32, 16

Is the sequence -432, 72, -12, 2, ... geometric?

• yes

• no

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1.

What is the common ratio (r) of the sequence?

• 2

• 2ⁿ

• 10

• 20

What does r represent?

• Common ratio

• Common difference

• Radical

Write the explicit formula for the geometric sequence.

3, -12, 48, -192, ...

• a_n = -4(3)^n-1

• a_n = 4(3)^n-1

• a_n = 3(-4)^n-1

• a_n = 3(4)^n-1