Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

119: Growth and Decay

star
star
star
star
star
Last updated over 5 years ago
19 Nsɛmmisa
1

Notes L7-1: Exponential Growth & Decay

The equation for exponential functions is:

y=a(b)^{x}

a is the starting amount

b is the base

1

example:

Is y=0.5(1.02)^x growth or decay?

What is the percent of increase or decrease?

(The percent of increase/decrease is how far from 100%)

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0

You can now do the first two sections of DeltaMath.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Bell Assignment:

Yesterday you explored 401(k)s. Was that an example of exponential growth or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.
Draggable itemarrow_right_altCorresponding Item

DECAY

arrow_right_alt

b>1

GROWTH

arrow_right_alt

b<1

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Is it growth or decay?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What is the percent of increase/decrease?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Is it growth or decay?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

What is the percent of increase/decrease?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

If the percent of increase is 12%, what is the base?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

If the percent of decrease is 12%, what is the base?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Formally, the equations for exponental growth and decay can be written as:

Draggable itemarrow_right_altCorresponding Item

DECAY

arrow_right_alt

y=a(1+r)^x

GROWTH

arrow_right_alt

y=a(1-r)^x

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Teen spending is expected to grow 3.5% annually from $79.7 billion in 2006.

Write the equation to model this situation.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

How many billions is the expected amount of money that teens will spend for the year 2020?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

A cup of black tea contains about 68mg of caffeine. The average teen's body can remove approximately 12.5% of the caffeine from their system per hour.

Write the equation to model this situation.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

How much caffeine will remain after 2 hours?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

The attendance for a basetball team declined at a rate of 5% per game throughout a losing season. 15 games were played and 23,500 people were at the first game.

Write the equation to model this situation.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

How many people were at the last game?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Is it growth or decay? y=670(0.782)^x

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Which situation could y=670(0.782)^x represent?

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Solve your choice from [17]:

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Choose all that are true