Exponential Functions
Solve: 125=5^8-5x
x=1
Fabio spent 12 hours studying for his biology test and scored 93%. What is the independent and dependent variable in this situation?
independent=time spent studying
dependent=score
AS A REMINDER: the independent variable is x, the dependent variable is y.
A certain medication breaks down at a rate of 5.25% per hour. Find the approximate half-life.
13.33 hours
What is Professor Jovanovic-Hacon's first name?
Aleksandra
Your mom gives you 32 pennies on October 3rd and says she will double them every day. So on October 4th, you have 64 pennies, and by October 5th, you get 128 pennies.
How many pennies will you have on day 17?
2^21 pennies
Find the equation of the line that passes through (5,7) and (10,20).
y=13/5x-6
Suppose that the population of lizards is increasing by 1.9% per year.
a) if the population was 900,000 in 2000, what should we expect the population to be in 2025?
b) how long will it take for the population to reach 1,000,000?
a) 1,440,778 lizards
b) 5.60 years
What is Elsie's favorite part about SI sessions?
you guys!
Caleb was 13 inches long when he was born and on his 20th birthday, he was 5 feet 11 inches tall.
a) create a linear model to represent this situation
b) according to the linear model, how tall will Caleb he on his 24th birthday?
c) is this a good linear model? why or why not?
a) y=2.9x+13
b) 82.6 inches or 6.88 feet
c) no bc Caleb will stop growing at some point unless he is magical
The half-life of Benadryl is 6 hours in the bloodstream. At 10:00 a.m. you have an allergic reaction to a bee sting and you take a 25 mg dose of Benadryl.
a) how much Benadryl would be left in your bloodstream at 6 p.m.?
b) Find the exact rate at which this medication breaks down in your bloodstream.
c) how long will it take to reach 5 mg of Benadryl in your bloodstream?
a) 9.92 mg
b) -0.1091 or -10.91%, a 10.91% decrease per hour
c) 13.93 hours
What is Elsie's last name?
Grow