Unit 5 Exponentials Most Missed

Match the situation to the needed formula

• Given a starting amount compounded continuously

• y₁~a(1+r)^x₁

• Basic exponential setup

• A = Pe^rt

• Given a starting amount compounded quarterly

• A = SP(1+/-r)^time

• When you're given a table

Tags

CCSS.HSF-LE.A.1A

Match the following to the needed conversion exponents

• (rate)³⁶⁵

• quarterly to yearly

• (rate)¹²

• daily to yearly

• (rate)^1/12

• yearly to quarterly

• (rate)⁴

• monthly to yearly

• (rate)^1/4

• yearly rate to monthly

Mike finds a deal with a yearly interest rate of 5.9%, how much is the monthly interest rate?

• about 0.47%

• about 4.7%

• about 0.047%

• about 12%

• about .059%

Compound interest is being calculated with f(x) = 5000(1 + .05)^4x

What is the real rate? (best trap on the test)

• 5%

• 10%

• 20%

• 40%

f(x) = 50000(0.75)^x represents the value of a car x years after its purchase. Which model represents the monthly value? *note the money does not matter, just the rate

• f(x) = 50000(0.976)^x

• f(x) = 50000(0.03)^x

• f(x) = 50000(0.95)^x

Tags

CCSS.HSF.LE.B.5

Which of these functions is increasing for all intervals of its domain?

• y = x²

• y = 1/x

• y = 2^x

• y = cos(x)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The exponential table represents the number of bacteria in a sample, per hour, what is the starting point?

Mathematical Equivalence

OFF

Tags

CCSS.HSF-LE.A.1A

The exponential table represents the number of bacteria in a sample, per hour, when will the bacteria reach 20,000?

• about 12.3 hours

• about 11.8 hours

• about 12.9 hours

• about 13.6 hours

Two different functions are represented in the picture. How far apart are the two y-intercepts?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7E

Solve for x 4^{-2x +5} = 200

Tip: use Desmos or Log form

• 0.589

• 0.438

• 0.653

• 0.792