1. Warm Ups Term 3 Week 9

2. Warm Up 3/6/17
1. A petri dish sample of bacteria showed 30 bacteria and increases at a rate of 250% per day. How many bacteria are in the petri dish after two weeks? 2. Find the rate of change for the function f(x) = 2x – 3 over the interval [- 1, 4]

3. Warm Up 3/7/17
3. Sarah invested $50,000 in a money market account in 2003 with a 7.2% interest rate. If she keeps her money there until she retires in 2033, how much will she have in her account when she retires? 4. Find the rate of change for the function f(x) = 30(3.5)x over the interval [-2, 3]

4. Warm Up 3/8/17
5. Graph the function f(x) = 2x – 3. State the domain and range. Graph the inverse and state its domain and range.
Condense each logarithm and evaluate:
a. log2453
b. log632 – log64
c. log87 + log822

5. Warm Up 3/8/17 Period 6
5. Graph the function f(x) = 2x – 3. State the domain and range. Graph the inverse and state its domain and range.
Rewrite in exponential form:
a. log245
Rewrite in logarithmic form:
b. 75 = 16,807
Use the change of base formula to simplify:
c. log822

6. Warm Up 3/9/17
7. A tank of water holds 220,000 gallons of water. It is leaking at a rate of 4% per month. Write an equation and use it to find how many months it will take for the tank to drop below 100,000 gallons.
Find the rate of change for the function
f(x) = 80(0.25)x over the interval [ - 2, 3].

7. Warm Up 3/10/17
Graph the function f(x) = (4/3)x using x-values – 2, - 1, 0, 1, 2, 3. State the domain and range. Then graph the inverse and state the domain and range of the inverse function.
Condense and simplify.
log69 + log624 b. log3108 – log34
Simplify.
c. log2810,000 d. log44x –1 e. 10log125 f. log64128