Exponential Evaluate

A new car cost $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year . The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)^t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

• $22,554.45

• $19,678.32

• $23,907.72

• 45,678.91

Answer explanation

t is the number of years after 2010. So, t=2017-2010

=7. So, the exponent is 7.

1.06⁷ = 1.06^7 . Multiply by 15000.

• 125

• 15625

• 25

• 30

Answer explanation

Follow order of operations. Exponents first.

f(2) indicates that x = 2

The exponent is 3x, so 3*2 = 6

The exponent is 6.

5⁶ or 5^6

Tags

CCSS.HSF-IF.C.8B

An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f\left(x\right)=8000\left(2\right)^{\frac{x}{7}}, where x is the number of years. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?

• $128,000

• $1,024,000

• $112,000

• $2,147,483,648,000

Answer explanation

x=28. So, the exponent is 28/7 = 4. The exponent is 4.

2⁴ = 2^4 = 16. Multiply by 8000.

• 2400

• 278942752100

• 64800

• 9600

Answer explanation

x=80. So, the exponent is 80/20 = 4. The exponent is 4.

3⁴ = 3^4 = 81. Multiply by 800.

Tags

CCSS.HSF.LE.A.2

• 2835

• 105

• 420

• 121550625

Answer explanation

x is the 4.

So, the exponent is 4.

3⁴ = 3^4 . Multiply by 35.

Tags

CCSS.HSF.LE.A.2

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Is the graph exponential growth or decay?

• Exponential growth

• Exponential decay

Tags

CCSS.HSF-IF.C.7E

Which table represents the following equation?

• 
• 
• 
• 

Tags

CCSS.HSF.LE.A.2

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph increasing, decreasing, or neither?

• Increasing

• Decreasing

• Neither

Tags

CCSS.HSF-IF.C.7E