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Kelso Math A1 #19 IM - Algebra 1 - Lesson 5.13 (15 problems)

Last updated almost 5 years ago
15 questions
Note from the author:
Illustrative Math
1

WEEKLY growth factor:

1

Starting number of insects:

1

equation using p and w

1

Here is a graph of the function f defined by f(x)=a*b^{x}.



Select all possible values of b.

1

The function f is given by f(x)=50*(\frac{1}{2})^{x}, and the function g is given by g(x)=50*(\frac{1}{3})^{x}.

Here are graphs of f and g.


Kiran says that since 3>2, the graph of g lies above the graph of f so graph 1 is the graph of g and graph 2 is the graph of f.

Do you agree? Explain your reasoning.

1

So how does a in function g compare to 50?

1

Now compare the b value to 3, the b value in function f...

1

Value of car when purchased?

1

How do you know?

1

f(2)=

1

Graph the equation here. You will be using this for #12.

2

Use the graph above to get the correct answer to the nearest 10th.

1

A ball was dropped from a height of 150 cm. The rebound factor of the ball is 0.8. About how high, in centimeters, did the ball go after the third bounce?

1

Some more cat and mouse problems...
After the mice were going crazy, a new cat was brought in, and it was quite the hunter! After month 3 of the cat, there were 500 mice, after month 5 only 125. If the change was exponential, what was the growth factor per month?

1

Given the situation for #14, how many mice were there when the cat started work?