1B 6.4-6.5 Quiz

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(1.14)^x
• y=6(0.86)^x

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

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

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

Pick the equation that is exponential growth

• y=2(0.5)^x
• y = 0.5(2)^x

Pick the equation that is exponential decay

• y=2000(0.88)
• y=0.5(1.88)

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Solve 3³ = 3^{4x + 2}

• ¼
• -¼
• ½
• -½

Solve for n:
2^-2n = 2⁶

• -1
• -7
• 5
• -3

Solve for x:
3^2x = 27

• 3/2
• -2
• 0
• 5