Unit 4 Test MC

 $Which\ of\ the\ following\ are\ true\ of\ x\ =\ \log_{10}1500?$  Select all that apply

• x < 4

• x = 4
  

• x > 4

• x > 3

• x < 3

Tags

CCSS.HSF.BF.B.5

The equation represents a population of bacteria, in thousands, days after it was first counted. Here is a graph of y= 1e^t. (e raised to the t power).       Select all the true statements.

• ln(30) represents the number of days until the population reaches 30 bacteria

• the graph shows that 3 is a reasonable approximation for ln(20,000)

• The graph shows that 2.3 is a reasonable approximation for ln(10)

•  $e^{3.5}\ >\ 30\ so\ \ln\left(30\right)\ must\ be\ less\ than\ 3.5$ 

Tags

CCSS.HSF.LE.B.5

Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 4 days. Consider the function T(d) below where  T(d) is the percent of Technetium-99m remaining d days after the test. 
Which expression (of the answer choices) represents the number of days until only 5% remains? (These are equivalent)
 $T\left(d\right)=100\left(\frac{1}{2}\right)^{\frac{d}{4}}\ \ or\ T\left(d\right)\ =100\left(2\right)^{-\frac{d}{4}}$  

•  $-\log_2\left(\frac{1}{20}\right)$  

•  $-\frac{1}{4}\log_2\left(\frac{1}{20}\right)$  

•  $-4\log_2\left(\frac{1}{20}\right)$  

•  $-2\log_2\left(\frac{1}{20}\right)$  

What is the x-intercept of  $y=\log_4\left(x\right)$  

• (0,1)

• (1,0)

• (4,0)

• (0.25,0)

Tags

CCSS.HSF-IF.C.7E

Which of the following points is on the graph of  $y=\log_4\left(x\right)$  Choose all that apply.

• (4,1)
  

• (160,40)

• (16,4)

• (16,2)

• (64,4)

Tags

CCSS.HSF.BF.B.5