Changing Forms
Make this into log form:
34=81
log381=4
For the 100 point answer you don't have to say it perfect, for the next ones you do!
"log base 3 of 81 equals 4"
Solve:
5x = 25
x = 2
Make this into PERCENTAGE form:
.34
34%
Tim buys a car for $30,000 and it loses 5% of its value each year.
EXPONENTIAL (any percent loss or growth is exponential)
What is a good estimate of pi? Like what is the number out to two decimal places?
Make this into log form:
5x = 75
log5 75 =x
Solve:
3x = 27
x = 3
Make this into DECIMAL form:
74%
0.74 (or just .74)
Write an exponential equation for this:
There are 50 algae in a pond and the amount doubles every day.
y = 50 * 2x
What letter did I mention in the coffee problem that is also an irrational number that we will be learning about this week?
e
Make this into log form:
4x = 23
log4 23 = x
Solve:
10x = 1,000,000
x = 6
Change this into PERCENTAGE form:
0.553
55.3%
Write a linear equation for this situation:
Stuart's gas tank has a 16 gallon capacity he uses half a gallon each day.
y = -0.5x + 16
What is the GEOMETRIC DEFINITION of Pi? How does it relate to a circle?
Pi is the circumference (perimeter) divided by the diameter of every circle.
Make this into log form:
10x-2 =y
log10 y = x - 2
Solve:
2x+1 = 16
x = 3
Because 24 = 16
Change this into DECIMAL form:
121%
1.21
Identify if this is LINEAR or EXPONENTIAL and write an equation:
25 people have a disease, and the amount of infected people doubles every week.
EXPONENTIAL
y = 25 * 2x
Write an equation that has no solution.
(many possible answers)
Change this into exponential form:
log3 14 = 3x - 2
33x-2 = 14
Solve:
5x - 3 + 4 = 29
x = 5
Change this into PERCENTAGE form:
2.31
231%
Choose if this is LINEAR or EXPONENTIAL and then write an equation for it:
There is $500 in an account, and it grows by 4% each year.
y = 500*(1.04)x
Write another equation that has no solution.
(many possible answers)