Big Ideas Chapter 6 Exponents Algebra

When graphing an exponential function, what does the 'a' represent?

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• 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

Classify the model as Exponential GROWTH or DECAY.

A=1200(.85)^x

• Growth

• Decay

Classify the model as Exponential GROWTH or DECAY.

A=10(1.01)^x

• Growth

• Decay

Suppose a culture of bacteria begins with 5000 cells and decreases 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

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Simplify the following exponential expression:
(3x⁴)(5x³)

• 15x¹²
• 8x⁷
• 8x¹²
• 15x⁷

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Write an equation.

• y = (2)2^x

• y = (4)1^x

• y = (1)2^x