Growth or Decay
Growth or Decay
Percent Rate
Riddles
100
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
100
A bunny population doubles every 6 months. If the starting population is 10, what is the growth factor?
growth rate = 2
100
What is the percent growth/decay rate?
y=5(0.5)^x
50%
100
What has to be broken before you can use it?
An egg
200
The breakdown of a sample of a chemical compound is represented by the function p(t) = 300(.05)t, where p(t) represents the number of milligrams of the substance and t represents the time, in years. In the function p(t), explain what 0.5 and 300 represent.
0.5 representa la tasa de descomposición y 300 representa la cantidad inicial del compuesto.
200
In exponential functions, when the number inside the parentheses is greater than 1, this will cause an exponential growth or decay?
Exponential growth
200
What is the percent growth/decay rate?
y=5(1.3)^x
30%
200
There’s a one-story house in which everything is yellow. Yellow walls, yellow doors, yellow furniture. What color are the stairs?
There aren’t any—it’s a one-story house.
300
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
r = 7%
300
f(x)=37(1.07)x
Does this function represent exponential growth or decay? What's the factor in percentage?
Exponential Growth. 7%
300
What is the percent growth/decay rate?
y=(0.01)^x
99%
300
Quien lo hace no lo necesita. Quien lo compra no le sirve de nada. Quien lo usa no puede verlo ni sentirlo. ¿Qué es?
Un ataúd.
400
Label the following formula:
y = importe final
a = monto inicial
r = tasa de crecimiento
t = tiempo
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay. 30%
400
Te pertenece, pero otros lo usan más. ¿Qué es?
Su nombre
500
La Sra. Wiggins compró un automóvil por 26.400 y cada año se deteriora un 12%. ¿Cuál puede esperar que sea el valor de su automóvil después de 3.5 años?
f(x)=26400(.88)3.5=$16,876.92
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
500
What is the percent growth/decay rate?
y=60(1.33)^x
33%
500
Dos padres y dos hijos están en un automóvil, pero solo hay tres personas en el automóvil. ¿Cómo?
Son abuelo, padre e hijo.