From Graphs
See Graph 1
y=1(2)^x
See Table 1
y=2(3)^x
There are 2,500 algae cells in a pond. The number doubles every day. Write a function to model the number of cells after x days.
y=2500(2)^x
A lab starts with 300 bacteria. The population triples every hour. Write a function to model the population after x hours.
y=300(3)^x
You deposit $2,200 into an account that grows by 2% per month. How much will you have after 18 months?
$3124.14
See Graph 2
y=1(4)^x
See Table 2
y=7(2)^x
A car is worth $28,000 and loses 12% of its value each year. Write a function to represent the value after x years.
y=28000(.88)^x
A video channel starts with 1,200 subscribers and grows by 25% each month. How many subscribers will there be after 8 months?
7153
A smartphone costs $900 and depreciates by 18% each year. What is the value after 4 years?
$406.91
See Graph 3
y=4(1/2)^x
See Table 3
y=62500(1/5)^x
A chemical kills 40% of bacteria each hour. If there are initially 5,000 bacteria,write a function to model the number remaining after x hours.
y=5000(0.6)^x
A forest has 8,000 trees and the number of trees increases by 6% per year. How many trees will there be in 15 years?
19172
A patient takes 80 mg of medication. Each hour, 85% remains in the bloodstream. How much remains after 6 hours?
30.2 mg
See Graph 4
y=4(2)^x
See Table 4
y=1(3)^x
A city has a population of 45,000 and grows at a rate of 3% per year. Write an exponential model for the population after x years.
y=45000(1.03)^x
A new gym opens with 250 members. Membership increases by 15% each month. How many members will there be in a year and a half?
3094
Solve for x=5. See Table 6
960
See Graph 5
y=3(1/2)^x
See Table 5
y=32(1/2)^x
A video is posted online and gets 2,500 views on the first day. The number of views increases by 35% each day. Write an equation to represent the number of views after x days.
y=2500(1.35)^x
A social media influencer has 5500 followers. Each month her followers increase by half. How many followers will she have in 7 months?
93973
A scientist is studying a radioactive substance. He finds that the substance has a half-life of 12 hours. He wants to know how much will be left after 4.5 days if he starts with 500 grams of the substance?
0.98 grams