write the equation
Which function does f decrease by 15% every year x increases by 1?
A) f(x) = 0.15x
B) f(x) = 0.85x
C) f(x) = 15x
D) f(x) = 85x
B) f(x) = 0.85x
Use the equation:
f(x) = 12 (4)x
f(x)= number of points
x= number of rounds
If the game show goes 10 rounds, then how many points are available
12582912
a(x) = 3x
Linear
c(x) = 65 (1.02)x
The function represents the cost in dollars, c, of 1 ounce of chemicals in a lab. x represents the number of year since 2000.
Does the cost of chemicals increase or decease over time and by what percent?
Increase by 2%
When a child is born, her uncle puts $200 in an account that earns interest. The money stays in the child's account until their 18th birthday with no more deposits or withdrawals. How much money will the have if the account grows by $20 each year?
y = 200 + 20(18)
y = 560
In a game show, players play multiple rounds to score points. Each round has four times as many points available as the previous round. If the player starts with 30 points, write the equation that shows the number of points available, p, in round n of the game show.
p(n) = 30 (4)x
A savings account earns 6% interest each year, compounded semiannually (2 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?
100 ((1 + .06/2)2)3 = $119.41
d(x) = 9 + 3x
y(x) =26,500 (.91)x
The function represents the value of a car, y, in dollars, x years after it has been sold.
Does the value of the car increase or decrease and by what percent?
Decrease by 9%
When a child is born, her uncle puts $200 in an account that earns interest. The money stays in the child's account until their 18th birthday with no more deposits or withdrawals. How much money will the have if the account grows by 9.5% each year?
y = 200 (1.095)18
y = 1024.43
At the beginning of the year, the bank account had $20,000. Since then, it has grown by 2% each month.
Write two expressions represent the amount of dollars, in thousands, in the bank 5 years later if it continues to grow at that rate?
20((1.02)12)5
20(1.02)60
The population of a city increased by 5% annually. If its population today is 200, what will be the population in three years?
round to the whole number
200 (1.05)^3 = 232
e(x) = 9(3)x
exponential
The equation shows a savings account that is compounded. How often is it compounded and what percent is the annual interest?
f(x) = 100 (1 + .08/4)x
Annual interest: 8%
When a child is born, her uncle puts $200 in an account that earns interest.
If you plan to take the money out of the account after 5 years, which option would you choose and why?
option 1: $20 each year
option 2: 5% each year
Would this be the same as 18 years?
Option 1: more money
$300 vs $255
No, after 18 years, I would choose option 2, because that option would make a lot more money after 18 years.