# algebra

lenny anf george started with 2 rabbits and each month the number of rabbits doubled since each pair of rabbits produced another pair of rabbits.

what is an eqaution for this situation ?
Lenny and george now have 30 million rabbits. how many month have passed ?

1. 👍
2. 👎
3. 👁
1. Now = time(0) = 2 = 2^1
time(1) = 4 = 2^2
time(2) = 8 = 2^3
...
time(n) = 2^(n+1)

then 2^(n+1) = 10million
log both sides and use rules of logs

(n+1)log2 = log 10million
n+1 = log 10million/lon2 = 7/log2 = 23.25..
n = 22.25

after 23 months there will be more than 30 million

1. 👍
2. 👎

## Similar Questions

1. ### Science

Multiplying Rabbits Suppose that a pair of rabbits produces six offsrping: 3 males and 3 females. Assumes that no offspring die. 1. If each pair of rabbits breeds only once, how many offspring would be produced each year for 5

2. ### math

Due to lack of natural predators, the rabbit population of a city park is doubling every year. If the rabbit population is 16 rabbits in year , how many rabbits will there be in year 5?

3. ### Algebra

Danielle has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Danielle started out with 15 rabbits and the function y=15*1.8x models the number of rabbits she will have

4. ### science

Rabbits are very popular domesticated animals, so popular that there are over 300 breeds of domesticated rabbits in the world. You attend a rabbit show and notice that all of the breeds vary in many characteristics, such as size,

1. ### biology

In rabbits, there are four different versions of the gene for coat color. What pattern of inheritance is this?

2. ### Algebra

Dorothy has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Dorothy started out with 20 rabbits and the function y=20*2.3^x models the number of rabbits she will have

3. ### Calculus

A population of rabbits starts off at time = 0 with 225 rabbits and increases at a rate of r(t) rabbits per month, where t is in months. A. What does the expression (24 integral 36)r(t)dt represent? B. What does the expression 225

4. ### Math

There are some rabbits and chickens in a farm. Together they have 35 heads and 94 feet. How many rabbits? How many chickens?

1. ### Algebra-Problems

Please help with my word problems? Solve the problem. The rabbit population in a forest area grows at the rate of 6% monthly. If there are 260 rabbits in April, find how many rabbits (rounded to the nearest whole number) should be

2. ### Algebra 2

A certain population of rabbits is doubling its population every 2 months. The original population started with only 20 rabbits. A biologist studying the population found that the equation 1000=20(2)^t shows how many months, t, it

3. ### Math

There are 12 baby rabbits at the pet store. The manager lets Gabriella feed vegetables to the rabbits as treats. She has 5 1/4 ounces of parsley today. She wants to give each rabbit the same amount. How much parsley does each

4. ### science

The timber wolves, rabbits, and vegetation in a particular region of northern New York together constitute part of a