Question

PLEASE HELP ME FINISH! Algebra 1b unit 7 lesson 2.

1.Suppose that the amount of algae in a pond doubles every 6 hours. If the pond initially contains 50 pounds of algae, how much algae will be in the pond after 18 hours?
2. What is the order of the numbers from least to greatest? A=6.2x10^-5 B=12.3x10^3 C=5.2x10^3 D=3.7x10^-5
3. Ken has decided to raise rabbits but has been warned that the number of rabbits he will have will double every month. Ken started out with 30 rabbits and the function y=30x2^x models the number of rabbits he will have after x months. Which graph represents the function?
Etc. etc. etc.

Answer 1

The pond will have 400 pounds of algae after 18 hours. The order from least to greatest is D, E, C, B. Graph C represents the function y=30x2^x.

Step-by-step explanation:

To answer question 1, we can use the concept of exponential growth. We are given that the amount of algae doubles every 6 hours. After 18 hours, there will be three doubling periods. So, the amount of algae will be 50 pounds multiplied by 2 to the power of 3, which is 50 x 2 x 2 x 2 = 400 pounds.

In question 2, we need to compare the given numbers in scientific notation. In this case, we can convert all the numbers to standard form and arrange them from least to greatest. The correct order is D (3.7x10^-5), E (6.2x10^-5), C (5.2x10^3), B (12.3x10^3).

For question 3, we need to identify the graph that represents the function y=30x2^x, where x is the number of months and y is the number of rabbits. The correct answer is graph C because the exponential growth of the rabbits doubling every month is represented by the increasing curve.

Answer 2

1. 50*2^18
2.DACB
3.graph will have value 30 at x=0 and it will be increasing exponentially.