Level 1: linear or exponential? + Growth / Starting Value
y = 3x + 4
what is Linear
Growth: 3
start: 4
Make a table and graph the following equation:
y = 2*(3)^x
x: 0 1 2 3
y:
x: 0 1 2 3
y: 2 6 18 54
Write the equation that represents the spread of the flu virus: Day 0: 1 Day 1: 3 Day 2: 9 Day 3: 27
What is y = 1* 3^x
A brand new Louis Vuitton Calculator just dropped. It's worth $10,000 now and depreciates in value by 8% yearly. Which equation best describes this situation:
1. y = 10,000*(1.08)^x 3. y = 10,000*(.92)^x
2. y = 10,000*(.98)^x 4. y = 10,000*(0.08)^x
What is 3. y = 10,000*(.92)^x
What is the formula for the area of a rectangle?
what is length x width
y = 3 * (.5)^x
What is exponential
Growth : 0.5
start: 3
Make a table and graph the following equation:
y = 16*(1/2)^x
x: 0 1 2 3
y:
x: 0 1 2 3
y: 16 8 4 2
An equation that models the growth of a mosquito population is represented by y= 140 (1.05^x).
What is the growth rate of mosquitos?
What is 5%
You invest $17,000 in an account that earns 2.5% interest compounded annually. What is an equation that represents this situation after x years?
What is y = 17,000 (1.025^x)
What is UC Davis
x: 0 1 2 3
y: 162 54 18 6
What is exponential
Growth: 1/3
Start: 162
Make a table and graph the following equation:
y = (1.5)^x
x: 0 1 2 3
y:
x: 0 1 2 3
y: 1.5 2.25 3.375 5.0625
Whats is the percent change for the following equation:
y = 1400*(.43)^x
What is 57% decay
There are currently 10 people with a new illness. It is expected that the number or cases will double double each day. How many people would you expect to be infected after 15 days?
What is 327,680
What is a line that an exponential function approaches but never crosses?
An asymptote
x: 0 1 2
y: 40.8 42.2 43.6
What is linear
Growth: 1.4
start: 40.8
Make a table and graph the following equation:
y = (1/2)^x
x: 0 1 2 3
y:
x: 0 1 2 3
y: 1/2 1/4 1/8 1/16
Write an equation for the following table:
x: 0 1 2 3
y: 1.5 4.5 13.5 40.5
What is y = 1.5 * (3)^x
You invest $21,000 in an account that earns 4% annual compound interest. What is the amount of money you have after 8 years?
What is $28,739.95
What is x^2+2x
Mr. Madhu has jumped on the crypto bandwagon and invested 300$ into MathCoin. He gains 15% simple interest on this investment monthly.
What is linear
Growth: 45$
Start: 300$
What is the name for a line that the graph of a function approaches but never crosses?
What is an asymptote
Write a situation based on the following equation:
y = 15,000( .76)^x
Slope Dude and Mr. Madhu invest in two different cryptos: MathCoin and NotMathCoin. Slope Dude invests $3,000 and his money grows by 34% yearly. Mr. Madhu invests $80 and his money triples yearly. Who has more money after 4 years and how much more do they have?
What is Mr. Madhu by $1,232.98
Make a list of as many exponential growth and exponential decay contexts as you can
answers will vary