Exponentials Test

A car is purchased for $28,000.  The value of the car depreciates 15% per year.  What is the value of the car after 5 years?

• $12,424
• $10,560
• $5,600
• $56,318

The amount of bacteria in a dish can be described with the equation y = 450(.42)^x

How much bacteria will there be after 6 hours?

• 450

• 1.843

• 2.470

Is this exponential growth or decay?

• Growth
• Decay

Which function represents the table of values? 

• f(x) = 4x
• f(x) = x³
• f(x) = 4^x
• f(x) = 4^x-1

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

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)