Exponential Review

Solve: 9^8-x = 27^x-3

• 5
• -5
• 1/5
• -1/5

Solve: 7^-x = 49

• 1
• -1
• 2
• -2

Tags

CCSS.6.EE.B.7

Solve: 2^x = 4^x+1

• -2
• 2
• -3
• 3

Solve: (1/5)^x-2 = 125^x/2

• 1/8
• .8
• -1/8
• -.8

Solve: 16^5x = 64^x+7

• 4
• -4
• 3
• -3

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year.  This growth can be expressed by the exponential equation P = 3400(1+.03)^x, where P is the population after t years.  Find the number of years it will take for the population to reach 10,000?

• 20 years
• 26 years
• 30 years
• 36 years

Tags

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSF.BF.A.2

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth
• decay

Tags

CCSS.HSF-IF.C.8B

Identify each function as representing exponential growth or decay.
f(x) = 5(1.06)^x

• growth
• decay

Tags

CCSS.HSF-IF.C.8B

Classify the given graph.

• exponential growth
• exponential decay
• positive linear
• negative linear

Tags

CCSS.HSF-IF.C.7E