CFA #10

Mathematical Equivalence

ON

Match the following

• y-intercept

• a

• Growth

• b

• Decay

• Growth/Decay Factor

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• Exponential Function Equation

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Which graph shows an exponential function?

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• 
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Which is the basic form of an exponential function?

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

You are sick and your doctor prescribes a medication. One dose is 200 mg. Every half hour 30% of the medication leaves the body. You take the first dose at 6 am. If y = amount of medication in the body and x = a 30 minute interval, what equation fits the scenario?

• y=30(0.70)^x

• y=200(0.30)^x

• y=200(x)^0.3

• y=200(0.70)^x

Write an exponential function to model the situation. Then solve.

The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?

• V(t) = 18000(.88)^t ; $12986.98

• V(t) = 18000(.12)^t ; $12986.98

• V(t) = 18000(.88)^t ; $5013.02

• V(t) = 18000(.12)^t ; $5013.02

The first term in a geometric sequence is 160 and the common ratio is 1/2.  What is the 7th term given the equation a_n = a₁ (r)^n-1

• 5

• 2.5

• 10

• 1.25

The graph of an arithmetic sequence is ​ ​ (a)   and the graph of a geometric sequence is ​ (b)   .

• linear
• exponential