CCM1B Name ______
HW 5.9
1) A population is increasing every two years by a growth factor of 4. If the population today is 5,500 what will it be in 4 years?
2) Create an arithmetic sequence with at least 4 terms that has a common difference of -10.
3) The first row of a theatre has 10 seats, the 2nd row has 18 seats and the 3rd row has 26 seats.
a)Write a sequence for the first 5 rows
b)What is the initial term
c)Is the sequence arithmetic or geometric?
d)What is the common ratio/common difference?
e) Would the graph of this data be linear or exponential?
f)How many seats are in the 7th row?
g)How many seats are there total in rows 1 – 7?
4) Simplify
a) x-5 y0 x-3b) (-3a2c)4
HW 5.10 Name ______
1) You deposit $250 in a savings account that has a 6.5% interest rate compounded semiannually.
How much money will be in your account after 3 years?
2) You want to deposit $500 into an account that has a 3% interest rate for 5 years.
Would you end up with more money if the interest was compounded semiannually or quarterly?
(show your work!)
How much more money?
3) How much money would you make in interestfrom a $1000 investment with a 7% interest rate that is compounded annually for 5 years?
4) A single bacteria triples every 6 minutes. How many bacteria would you have after 2 hours?
5) If f(x) = 4x is the parent function, write an equation for the following transformations:
a)Down 5 units, b) Left 6 units c) Up 1 unit
right 2 units right 4 units
g(x) = t(x) = h(x) =
HW 5.11 Name ______
1) A population of ten mice doubles every 7 days. How many mice will there be in 35 days?
2) Lisa invested $1000 into an account that pays 4% interest compounded monthly. If this account is for her newborn, how much will the account be worth on his 21st birthday, which is exactly 21 years from now?
3) Do the following tables represent linear or exponential functions? Justify your answer!
Hours / # of bacteria0 / 29
1 / 34
2 / 39
3 / 44
Year / Population
2000 / 16,250
2001 / 48,750
2002 / 146,250
2003 / 438,750
a) b)
4) Using the table from part b in question #3, what was the population in 1998?
5) Describe the transformations used to obtain the graph of g from the graph of f.
a)f(x) = 5xg(x) = 5x+1 – 6
b)f(x) = 4xg(x) = 4x – 2 + 3
HW 5.12Name ______
1) Suppose you invest $5000 at an annual interest of 7%, compounded semi-annually.
a) How much will you have in the account after 10 years?
b) Determine how much more you would have if the interest were compounded monthly.
2) Are the sequences arithmetic or geometric? State the common difference or common ratio.
a)-11, 143, -1859, … b) 250, 125, 62.5, …
c) -27, -31, -35, -39,… d) 19.5, 22, 24.5, 27, …
3) You throw a SuperBall on the cement as hard as you can and watch it bounce until it stops. You notice the first bounce reaches a height of 200ft, but the second bounce reaches only half of that height. How high will the 7th bounce reach?
a) What type of sequence is illustrated by this problem?
b)Is this sequence growing or declining?
4) Create a geometric sequence with at least 5 terms that has a common ratio less than 1.
5) Describe the transformations used to obtain the graph of g from the graph of f.
a)f(x) = 8xg(x) = 8x – 6
b)f(x) = 5xg(x) = 5x-5