Exponential Growth/Decay
Given the following equation what is the starting value?
y=3(1.25)x
starting value is 3
y = Starting value ( growth factor)x
Over time Chicago has lost population. If the equation is y=2,000,500(0.97)x and x is the number of years after 2017 what x value would you put if you wanted to know the population in 2024?
x=7
2024-2017=7
Is the following arithmetic or geometric growth?
2, 4, 6, 8, 10,...
Arithmetic bc it is increasing by 2. Arithmetic growth is when the same number is added or subtracted each time.
What is 23.1% as a decimal?
.231
You divide by 100
Given an equilateral (all three sides are the same length) triangle has a perimeter of 27ft what is each side length?
s=9ft
s+s+s=3s=27
s=9
Given the following is it exponential growth or decay
? Why or why not?
y=42,000(0.96)x
Decay because .96<1
Over time Chicago has lost population. If the equation is y=2,000,500(0.97)x and x is the number of years after 2017 what x value would you put if you wanted to know the population in 2009?
x=-8
2009-2017=-8
Is the following arithmetic or geometric growth?
2, 5, 7.5, 18.75
Geometric bc it's being multiplied by 2.5
What is 2/5 as a decimal?
0.4
Divide numerator by denominator
Given a cylinder with a base with an area of 10 square meters and a height of 5 meters what is the volume?
V=50 m3
Volume= area of base x height
Given the following is it exponential growth or decay
? Why or why not?
y=42,000(1.025)x
Growth because 1.025>1
Over time Chicago has lost population. If the equation is y=2,000,500(0.97)x and x is the number of years after 2017 what is the population in 2029?
y = 1,388,064
Using function notation identify the 5th value
f(5)=
1, 3, 5, 7, 9
f(5)=9
What is 1.5 as a percent?
150%
1.5x100 add percent sign
If something has units of meters cubed is it area, perimeter or volume?
Volume bc three dimensions is multiplied.
What is the percent of decay?
y=42,000(0.96)x
4%
1-.96=0.04
0.04=4%
Over time Chicago has lost population. If the equation is y=2,000,500(0.97)x and x is the number of years after 2017. What is the population in 2009?
y = 2,552, 265
Using function notation identify the 5th value
f(3)=
1, 3, 9, 27,...
f(3)=9
You bought a game system on sale. It originally was $75 its now 52% off. Then you paid 10% tax on your purchase. What did you pay in total?
$39.60
.48x75=36
$36+3.6=$39.60
What is the area of a triangle with base of 10in and height of 4 in .
20 in2
A=BH/2=10x4/2
What is the percent of growth?
y=42,000(1.025)x
2.5%
1.025-1=0.025
0.025=2.5%
Write the equation. Given you bought a used car for $20,400 that depreciates at 2.5% a year write the equation that represents the value over time.
y=20,400(.975)x
Is the following arithmetic or geometric? 100, 50, 25, 12.5,...
Geometric
We are dividing by 2 or multiplying by 1/2 each time
If you buy a t-shirt for 27.58 dollars and you pay 8.75% tax what is your total?
total =
0.0875x27.58+27.58 OR
1.0875x27.58
A square has a side length of 21m what is its perimeter
84 meters
21x4