Unit 6 Review (Alg. 2)

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1+ 0.14)^x

• y=6(1 - 0.14)^x

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29
• $424,527.63
• $57,357.75
• $532,041,076.80

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

Rewrite the equation in exponential form.

• 2⁴=16
• 4²=16
• 16⁴=2
• 4¹⁶=2

Rewrite the equation in logarithmic form.

• log₁₇289=2
• log₂289=17
• log₁₇2=289
• log₂2=289

 $Evaluate\ \log_8\frac{1}{8}$  

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044