Algebra Exponential

What formula shows how to calculate the population of a 100,000 alien city on Saturn with a 3% growth rate in 4 years?

• 100,000(1.03)

• 100,000(1.03)⁴

• 100,000(0.03)

• 100,000(1.03)(4)

For which function does g increase by 2.5% every time x increases by 1?

• f(x) = 2.5^x

• f(x) = 0.25^x

• f(x) = 1.25^x

• f(x) = 1.025^x

• f(x) = 0.925^x

For which function does g increase by 4.5% every time x increases by 1?

• f(x) = 0.45^x

• f(x) = 1.045^x

• f(x) = 1.45^x

• f(x) = 4.5^x

Is this function c(x) = 100(1.08)^x increasing or decreasing over time?

• increasing

• decreasing

• neither

• can not be determined

Is this function c(x) = 250(1 + 0.6)^x increasing or decreasing over time?

• increasing

• decreasing

• neither

• can not be determined

By what percentage is this function changing per year?

c(x) = 250(1.0035)^x

• increasing by 35%

• increasing by 3.5%

• increasing by 0.0035%

• increasing by 0.35%

• increasing by 1.0035%

The cost of a laboratory chemical is represented by c(x) = 110(1.06)^x where x represents the number of years since 2015.  How much does it cost in 2015?

• $1,106

• $106

• $116.6

• $13.10

• $110

The cost of a laboratory chemical is represented by c(x) = 110(1.06)^x where x represents the number of years since 2015.  How much does it cost in 2018?

• $131.01

• $110

• $116.60

• $13.10

• $31.01

A graph can be represented by f(x) = 3.4512(2)^x.  The coordinates of A are (1, c) and the coordinates of B are (4, d).  What is the value of d/c?

• 2

• 6

• 8

• 10

• 12

A graph can be represented by f(x) = 2.3512(3)^x.  The coordinates of A are (1, c) and the coordinates of B are (3, d).  What is the value of d/c?

• 9

• 12.5

• 13.5

• 14

• 15.5