Writing Equations
Graphs, Tables, Equations
Wild!
Growth/Decay Rates
Evaluate
100
A population of 500 is decreasing by 1% each year. Write the equation to model this situation.
y = 500(0.99)x
100
Growth or Decay?
Growth
100
What was the first toy to be advertised on television? Hint: It's in Toy Story.
Mr. Potato Head
100
Growth or Decay?
y = 167(0.68)x
Decay
100
A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years. Round to the nearest whole number.
6,720
200
Mr. Manley purchased his car for $23,000. It's value is depreciating at a rate of 7.8%. Write the equation for this scenario.
y = 23000(.922)x
200
Write an exponential equation to match the graph.
y = 4(2)x
200
What sport is dubbed the "king of sports"?
Soccer
200
Growth or Decay?
y = 12000(1.09)x
Growth
200
Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded annually. Find the account balance after 5 years. Round to the nearest hundredths place.
$1415.71
300
You have a checking account in which your balance increases annually at a rate of .9895%. If your initial investment was $500, write an equation that represents your balance after x years.
y = 500(1.009895)x
300
Write the equation of the table.
y = 1.6(2.5)x
300
List the colors of the rainbow in order.
red, orange, yellow, green, blue, indigo, violet
ROYGBIV!!!
300
What is the decay rate?
y = 167(0.68)x
32%
300
The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each year. What will the population of Leavetown be 100 years from now? Round to the nearest whole number.
11,118
400
Diego makes an initial investment of $7000. The investment loses 13.58% each year. Write the equation that models this scenario.
y = 7000(.8642)x
400
Write the equation of the table.
y = 243(1/3)x
400
What is Earth's largest continent?
Asia
400
What is the growth rate?
y = 12000(1.09)x
9%
400
A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present. How much of the substance remains after 30 years (to the nearest tenth)?
8.6
500
The 1989 population of Mexico was estimated at 87,000,000. The annual growth rate is 2.4%. Write the equation that models this scenario.
y = 87,000,000(1.024)x
500
Identify the initial value and growth factor of this geometric sequence.
25, 125, 625, 3125
a: 5
b: 5
500
What type of animal is a Flemish giant?
Rabbit
500
What is the decay rate?
y = 5(0.137)x
86.3%
500
Kroger decided to do a promotion on peanut butter. The starting price was $3.99 per jar. Each week, they would decrease the price by 6.2%. What is the price of peanut butter after 6 weeks?
$2.72