Exponentials Algebra

What is a, the y-intercept, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

What is (3x³y⁴z²)³?

• 9x⁶y⁷z⁵
• 9x⁹y¹²z⁶
• 27x⁶y⁷z⁵
• 27x⁹y¹²z⁶

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

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x

Is the equation linear, exponential or neither?

• Linear
• Exponential
• Neither

Is the equation linear, exponential or neither?

• Linear
• Exponential
• Neither

In an exponential function, what does the 'a' represent?

• Slope

• Growth/decay factor

• y-intercept

• Growth

The value of a car is $15,000 and decreases by 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8

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