IM Alg1.5.15 Practice: Functions Involving Percent Change
In 2011, the population of deer in a forest was 650.
In 2012, the population increases by 15%. Write an expression, using only multiplication, that represents the deer population in 2012.
In 2013, the population increases again by 15%. Write an expression that represents the deer population in 2013.
If the deer population continues to increase by 15% each year, write an expression that represents the deer population years after 2011.
Mai and Elena are shopping for back-to-school clothes.
They found a skirt that originally cost $30 on a 15% off sale rack. Today, the store is offering an additional 15% off. To find the new price of the skirt, in dollars, Mai says they need to calculate . Elena says they can just multiply . How much will the skirt cost using Mai’s method?
How much will the skirt cost using Elena’s method?
Explain why the expressions used by Mai and Elena give different prices for the skirt. Which method is correct?
One $1,000 loan charges 5% interest at the end of each year, while a second loan charges 8% interest at the end of each year.
Complete the table above with the balances for each loan. Assume that no payments are made and that the interest applies to the entire loan balance, including any previous interest charges. The scientific calculator below can be used for calculations.
Which loan balance grows more quickly?
How will this be visible in the graphs of the two loan balances and as functions of the number of years ?
Use the applet below to create graphs representing and over time. The graph should show the starting balance of each loan as well as the amount of the loan after 15 years. Write down the graphing window needed to show these points.
Lin opened a savings account that pays interest annually and deposited $5,000. If she makes no deposits and no withdrawals for 3 years, how much money will be in her account?
A person loans his friend $500. They agree to an annual interest rate of 5%.
Write an expression for computing the amount owed on the loan, in dollars, after years if no payments are made.
Select all situations that are accurately described by the expression .
Here are graphs of two exponential functions, and .
If and , what could be the value of ?
The real estate tax rate in 2018 in a small rural county is increasing by . Last year, a family paid $1,200. Which expression represents the real estate tax, in dollars, that the family will pay this year?
Two inequalities are graphed on the same coordinate plane.
Select all of the points that are solutions to the system of the two inequalities.