Algebra 1 - 7.6-7.8 Review

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

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation? 

• y=78(0.5)^x
• y=78(1.5)^x
• y=78(2)^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

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

What relationship is demonstrated by this table of values? EXPLAIN

• Linear

• Exponential Growth

• Neither

• Exponential Decay

• Linear Growth

The table represents ...

• Linear function, Dividing by 2

• Exponential function, Growth, Adding by 50

• Exponential function, Decay, Dividing by 2

• Exponential function, Decay, Adding 50

Evaluate the function for the given value:

 $y=\left(\frac{1}{4}\right)^x$  for x = 4

•  $\frac{1}{256}$  
  

• 256

•  $\frac{1}{16}$  
  

• 16

Evaluate the function for the given value:

 $f\left(x\right)=3^x$  for f(3)

• 27

• 9

• 6

• 12

Evaluate the function for the given value:

 $y=8\cdot0.7^x$  for x = 3

• 2.744

• 175,616

• 16.8

• 432,8

Evaluate the function for the given value:

h(t) = 3 • 4^t for h(-3)

• $\frac{3}{64}$

• 192

• -36

• $-\frac{3}{64}$