Write a real-world situation that can be modeled by y equals 3 to the power of t. post your situation and explain why it is modeled by the equation shown.

a. choose a situation written by another student. do you agree that the student's situation can be modeled by the given equation?

b. explain how you would modify either your situation, or another student's situation, if the equation was changed to y equals 2 open parentheses 3 close parentheses to the power of t.

c. if the equation were rewritten in the form y equals b open parentheses 1 plus r close parentheses to the power of t, what would be the value of r? tell what this value means in relation to either your, or another student's, situation.

When ∆rst is translated 4 units down, what are the apparent coordinates of t’? give 15 points

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The graph shows the decibel measure for sounds depending on how many times as intense they are as the threshold of sound. noise in a quiet room is 500 times as intense as the threshold of sound. what is the decibel measurement for the quiet room? 20 decibels28 decibels200 decibels280 decibels