Question 1

The graph of an exponential growth relationship contains the points (0,1)(1,4) and (2,16). What is the growth factor of the graph? (Your answer should be a number only.)

Accepted Answer

4

Question 2

The population of an ant colony decays 20% each month. The colony began with 1,000,000 ants. how many remain after a year? (Use a comma if needed and round answer to the nearest ones place.)

Accepted Answer

68,719

Question 3

Simplify $(x^3)^4/(3x^2y^2)^2$

Accepted Answer

$x^8/9y^4$

Answer

$x^5/3x^4y^4$

Answer

$9x^8/y^4$

Answer

$9y^4/x^6$

Question 4

Simplify $(4b^3/2c^2)^3$

Accepted Answer

$8b^9/c^6$

Answer

$64b^6/2c^5$

Answer

$12b^9/6c^6$

Answer

$2b^9/c^6$

Question 5

Simplify $3x^5y^2/x^9y^0$ without using negative exponents.

Accepted Answer

$3y^2/x^4$

Answer

$9y^2/x^4$

Answer

$3x^4/y^2$

Answer

$x^4/3y^2$

Question 6

$(3x^3*2x^2/6x^5)^0$ (*represents multiplication)

Accepted Answer

$1$

Answer

$1/6x$

Answer

$x$

Answer

$6x$

Question 7

Simplify $(2v^3)^2$

Accepted Answer

$4v^6$

Answer

$2v^6$

Answer

$4v^5$

Answer

$2v^5$

Question 8

We lose an average of 35,000 skin cells every day. This loss is an example of which of the following relationships?

Accepted Answer

Linear relationship

Answer

Inverse variation

Answer

Exponential Growth

Answer

Exponential Decay

Question 9

A table representing exponential growth has the values (2,40) and (3,80). If you were to write this relationship in the form $y=ab^x$, what would be the value of a?

Accepted Answer

10

Question 10

A population is decaying at a rate of 65% per year. At this rate, what percent of the population will still exist next year. (Write your answer followed by the percent sign, leaving no space in between.)

Accepted Answer

35%

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