Algebra Unit

Simplify using your exponent rule(s) (2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

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

• 300

• 1.16

• .16

• x

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

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 party charges $5 admission for each person.

• Linear

• Exponential

• Neither

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t = $36,000

• 12,000(1.08)^t = $38, 066

• 12,000(0.5)^t = $10,000

• 12,000(0.92)^t = $40,000

Give the value of the growth factor:
y = 35(1.075)^x

• 35

• 0.075

• 7.5%

• 1.075

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Does the table show an exponential function pattern?

• Yes, there is a constant factor of 3

• Yes, there is a constant factor of 4

• No, it is linear there is a constant rate of change of 4

• No, there is no pattern