Solving Word Problems
A television was $400 in 2005. The price has increased 7% every year. Find the price of a television in 2013.
$687.27
From 2005 to 2015, a population of P lions is modeled by the equation P = 1500(0.98)t
Does the population of lions increase or decrease over time, and by what percentage does it do so?
The population of lions is decreasing by 2% over time.
You have $755 saved and place it in a savings account at 11.2%. Write an equation and find out how much money you will have at the end of 6 years if the interest is compounded semi-annually.
A = 755(1 + 0.112/2)2*6
$1451.82
Write a function that describes a decrease of 20% everytime x increases by 1.
y = 0.8x
At the beginning of the year, Billy puts $50 in a savings account to earn interest. He has two different account types to choose from.
Account 1: An account that grows by $5 per month
Account 2: An account that grows by 6% per month.
Which account represents an exponential function? How do you know?
Account 2 because it has a common multiplier.
The height of a bouncing ball (measured in inches) after x bounces is represented by the equation.
y = 120(0.75)x
How high is the ball after the 5th bounce? (Round to the tenths place)
28.5 inches
From 2005 to 2015, a population of P lions is modeled by the equation P = 1500(0.98)t
What is the population of lions in 2005?
1500 lions
You have $755 saved and place it in a savings account at 11.2%. Write an equation and find out how much money you will have at the end of 6 years if the interest is compounded quarterly.
Y = 755 (1 +0.112/4)4*6
$1464.81
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y = 5000(0.7)x
At the beginning of the year, Billy puts $50 in a savings account to earn interest. He has two different account types to choose from.
Account 1: An account that grows by $5 per month
Account 2: An account that grows by 6% per month.
Which account represents a linear function? How do you know?
Account 1 because it has a constant rate being added each month.
A house was worth $450,000 in 2015. It has decreased in value by 9% every year. Write and solve an equation to find the value of the house in 2024.
y = 450,000(0.91)9
$192,568.41
The population of wolves in an area is represented by the equation y = 800 (0.0095)t where t is the number of years since the year 2000.
a) In the above equation what does 800 represent?
b) In the above equation what does 0.0095 represent?
A) The starting population is 800
B) The population is decreasing 0.95% each year.
You have $755 saved and place it in a savings account at 11.2%. Write an equation and find out how much money you will have at the end of 6 years if the interest is compounded monthly.
y = 755(1+0.112/12)12*6
$1473.80
The value of a car is $15,000 and depreciates at a rate of 8% per year. Write an equation representing this situation.
y = 15,000(0.92)x
At the beginning of the year, Billy puts $50 in a savings account to earn interest. He has two different account types to choose from.
Account 1: An account that grows by $5 per month
Account 2: An account that grows by 6% per month.
During which month will option two surpass option 1?
In month 18, account 2 will pass account 1.
From 2005 to 2015, a population of P lions is modeled by the equation P = 1500(0.98)t
How many lions were there in 2012? Show how you know.
1302 Lions
Write a word problem that would represent this equation.
y = 5000(1.59)x
Answers vary!
James is investing $15,000 in the bank. The investment has an interest rate of 6% compounded monthly. After ten years, how much will James have made?
$27,290.95
Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 inches and grew at a rate of 14% a week.
y = 6(1.14)x
A graph can be represented by the function,
y = 1.9764(3)x
The coordinates of A are (1,c) and the coordinates of B are (6,d). What is the value of d/c.
243
The population of a city increases by 1% every month. If its population today is 25,000, what will its population be in 3 years? Show how you know.
35,769 People
Write a word problem that would represent this situation.
Y = 10(0.03)x
Answers vary.
Larry invested $27,000 in a savings account that pays an annual interest rate of 1.8%. The savings account is set to compound quarterly. How much is in Larry’s account after 5 years?
$29,536.74
Write the equation of the situation: A city has 24,000 people and grows by a rate of 3% each year.
Y = 24,000(1.03)x
At the beginning of the year, Billy puts $50 in a savings account to earn interest. He has two different account types to choose from.
Account 1: An account that grows by $5 per month
Account 2: An account that grows by 6% per month.
1. Assuming Billy makes no withdrawals or deposits, which account will result in a better balance at the end of 2 years.
Account 2