Which points are on the graph of k(x)=(1/4)^x ? select each correct answer. (3, 164) (−1, 4) (0, 14) (1, 4)

Answers are choice 2 (-1,4) and choice 1 (3 1/64)

Just took the test, Hope this helps!

Percentages:

to increase a number by 5%, we have to get the decimal form of percentage. this is 0.05. 0.05 is 5%. the decimal form of a percent allows us to work with numbers.

if you multiply a number by 0.05, you will get 5% of that number.

so to increase a number by 5%, you do



notice that 



so multiplying that number by 1.05 will increase it by 5%.

16a.

georgia: grows yearly by 1.3%, starting at 9815210.
the initial amount is . the growth factor is 1.3%. in decimal form this percentage is 0.013. 
to increase a number by 1.3%, we have to multiply that number by (1 + 0.013), or (1.013). so we have to be multiplying our initial amount by 1.013.
the exponent would be, let's say,    in years.

so

16b.

9656401 initial, 1.25% rate of growth. have to multiply by 1.0125 to increase a number by 1.25%.

so


16c.

label y-axis with population; make the intervals big to show difference between 9.6 million and 9.8 million.

put the georgia graph above the nc graph. the nc starts at a lower population.

make the georgia graph increase more as its growth rate is higher