Exponential Growth and Decay | Baamboozle - Baamboozle

English 15 Public

Exponential Growth and Decay

Study Slideshow

A population of a city is 422,000 and increases by 12% each year. What is the population after 8 years?

1,044,856 People

A car bought for $13,000 depreciates at 15% per year. What will the car be worth in 5 years?

$5678.17

Scott purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. How much will the painting be worth in 2017?

$2372.87

Given the sequence {-2, 6, -18, …}, write a rule and find the 8th term.

y = -2(3^n-1); 4374

Is the following Growth or Decay?

Growth

What is the equation of the asymptote?

y = -4

Is the graph growth or decay?

Decay

What is the value of "a"?

0.5 or 1/2

A savings account is modeled by the following equation. At what rate is the account incurring interest?

13%

The value of a home is modeled by the following equation. What is the rate at which it is losing value?

15.7%

If the savings account modeled by the equation shown was opened in 2010, how much would it be worth in 2035?

$42,461.08

The home whose value is modeled by the equation below was purchased in 1998. How much will the house be worth this year (2023)?

$3496.47

Given the sequence {6144, 3072, 1536, …} write the rule and find the fifteenth term.

6144[0.5^(n-1)]; 0.375

Simplify completely

3[sqrt(6)]

Simplify completely

10m^2[sqrt(2n)]