CCM1B Name ______
HW 5.13
1) The radioactive isotope strontium has a half life of 28 years. If the sample starts with 100 grams, how much of the isotope with remain after 280 years?
2) Simplify:
a) -5a2b4 ∙ 3b5a-2 b) (10x0yz3)2
3) A population of 150 mice increases by a growth factor of 1.5 every 2 years.
a) Write the first 4 terms of this sequence
b) Is the sequence arithmetic or geometric?
c) Create a NOW-NEXT equation that would model this situation.
d) Write an explicit function to model this situation.
e) How many mice will there be after 10 years?
4) If the parent function f(x) = 5x is translated up 6 units and left 5 units, write the equation of the new function g(x).
5) Describe the translation from the parent graph f(x) to the translated graph g(x).
f(x) = 3x g(x) = 3x – 1 - 2
HW 5.14 Name ______
1) One-thousand bacteria increase by 10% every 6 hours.
a) Complete the following table to show how many bacteria remain after
Time passed / 0 / 6 hours / 12 hours / 18 hours / 24 hours# bacteria
b) Does this example represent growth or decay? Explain!
c) How many hours does it take for there to be at least 1,500 bacteria?
d) How many bacteria are present after 3 days?
2) Bob is saving money for his newborn son in a savings account. The day he is born Bob puts $1000 in an account that gives 9% interest compounded annually. How much money will be in his sons account on his son’s 18th birthday?
3) Do the following examples represent exponential growth or decay? Explain how you know!
a) b) y = 10(1.2)x c) 11, 44, 176,… d) y = 3(1/3)x
4) Are the following sequences arithmetic, geometric or neither? Justify your answer.
a) 250, 125, 62.5, ...b) -11, -5, -1, ...
HW 5.15 Name ______
1) If 250 grams of a substance have a half life of 2 hours, how much of the substance will remain after 1 day? Round to the nearest hundredth.
2) Molly received $175 for her birthday from friends and family. She deposits it in an account that gets 8.5% interest compounded quarterly. How much money will Molly have after 5 years?
3) A $500 iPad depreciates at 15% per year. How much is it worth after 10 years?
4) On a game show the first correct answer is worth $25. For each subsequent correct answer the amount you can win triples.
How much money would you receive for the 4th correct answer?
How much total money would you earn for correct answers on questions 1 – 5?
5) What are the 1st 6 terms of an arithmetic sequence with a common difference of -11 an initial term of 24?
HW 5.16Name ______
1) Solve -2(x – 4) + 5x = 8 + 10x – 62) Solve & graph 4 – 2a < -10
3) Describe the translation:
Parent function Translated function
y = |x| y = |x + 8| - 2
4) Find the slope of the line through the points (-3, 2) and (8, 10).
5) Write the equation of a line in slope-intercept form that has a slope of -1/2 and a y-intercept of 4.
6) Find the 5 number summary for this data set: 100, 84, 79, 104, 92, 88, 90.
7) Evaulate -2ab + 10b, where a = -3 and b = -5