Jeopardy Exponential Logarithms Natural Compounding Logs Q 100

Jeopardy Exponential Logarithms Natural Compounding Logs Q $100 Q $100 Q $200 Q $200 Q $300 Q $300 Q $400 Q $400 Q $500 Q $500 Inverses Final Jeopardy

$100 Question from Exponential In the equation, y=abx what does the “a” represent?

$100 Answer from Exponential What you’re beginning with, The y-intercept (for most graphs)

$200 Question from Exponential In the equation, y=abx what does the b represent?

$200 Answer from Exponential The multiplication factor

$300 Question from Exponential In the equation, y=10(5)x what is the “a” value and what does the “a” represent?

$300 Answer from Exponential “a” value = 10, it represents what you are starting with.

$400 Question from Exponential In the equation, y=4(6)x what is the “b” value and what does the “b” represent?

$400 Answer from Exponential “b” value = 3, it represents the multiplication factor – each year, the equation is tripling.

$500 Question from Exponential In the equation, y=3(2)x/5 what is the “x/5” tell you about this situation?

$500 Answer from Exponential Every 5 years, the substance is doubling

$100 Question from Logarithms What is the base in: log 252

$100 Answer from Logarithms 2

$200 Question from Logarithms Solve: log 22=x

$200 Answer from Logarithms X=1

$300 Question from Logarithms Solve: logx 8=3

$300 Answer from Logarithms X=2

$400 Question from Logarithms Solve: log 5 x=4

$400 Answer from Logarithms X=54

$500 Question from Logarithms Solve: log 1323=x

$500 Answer from Logarithms Log 23/log 13=x

$100 Question from Natural Logs What is the base of all natural logs?

$100 Answer from Natural Logs e

$200 Question from Natural Logs Solve: lne 4=x

$200 Answer from Natural Logs 4=x

$300 Question from Natural Logs Solve: lnex=21

$300 Answer from Natural Logs X=21

$400 Question from Natural Logs Solve: ex=22

$400 Answer from Natural Logs ln 22=x

$500 Question from Natural Logs What does lne equal?

$500 Answer from Natural Logs 1

$100 Question from Compounding What is the equation for compounding quarterly?

$100 Answer from Compounding A=P(1+ r/4)4 t

$200 Question from Compounding What is the initial amount invested for: A=2000(1+ 0. 06/5)5(6)

$200 Answer from Compounding $2000

$300 Question from Compounding What is the interest rate for: A=2000(1+ 0. 06/5)5(6)

$300 Answer from Compounding 6%

$400 Question from Compounding What is the equation for continuous compounding?

$400 Answer from Compounding A=Pert

$500 Question from Compounding What must you start with to yield $10, 000 with an interest rate of 5% over 9 years compounded monthly?

$500 Answer from Compounding P=10, 000/(1+ 0. 05/12)12(9)

$100 Question from Inverses What is the notation for the inverse of f(x)?

$100 Answer from Inverses f-1(x)

$200 Question from Inverses What are the steps to finding an inverse function?

$200 Answer from Inverses 1. Replace f(x) with y 2. Swap x and y 3. Solve for y 4. Replace y with f-1(x)

$300 Question from Inverses What is the inverse of g(x)=2 x+6?

$300 Answer from Inverses g-1(x)=(x-6)/2

$400 Question from Inverses What is the inverse to m(x)=log 4 x?

$400 Answer from Inverses m-1(x)=4 x

$500 Question from Inverses What is the inverse to h(x)=5 lnx?

$500 Answer from Inverses h-1(x)=ex/5

Final Jeopardy The man who made it didn’t want it, the man who bought it didn’t need it, and the man who used it never knew he had it. What is it?

Final Jeopardy Answer A coffin!