Integrated Math 1
Monday’s RAP #3
Name
This worksheet is due on Monday,
Show your work or explain how you got your answers!
1a. The chart below shows the cost of parking in a garage. Sketch a graph showing the cost of parking in this
garage for times between 0 and 8 hours, and connect all the points with a line.
Time
Cost
2 hour
$6.00
3 hours
$7.50
5 hours
$10.50
6 hours
$12.00
8 hours
$15.00
b. How much does the cost increase by per hour?
c. What is the y-intercept of the line? Explain it’s meaning in context of the situation.
d. Write a recursive equation for the relationship between the time in the garage and cost.
e. Write an explicit equation with the variables T = time, and C = Cost of parking in the garage.
f. If you park your car in the garage at 8:00 a.m., how much will parking cost if you leave at …
9:00 A.M.?
11:30 A.M.?
8:45 A.M.?
a.
Who won the race? By how much time?
b. At what distance in the race (if any)
were Rachel and Micah tied?
Distance Covered
(in meters)
2. Rachel and her younger brother Micah, ran a 100-meter race. Their distance covered at various times in the
race is shown in the graph at right. Use the
graph to answer the following questions.
100
Rachel
80
Micah
60
40
20
5
10
15 20 25 30
Time Running (in seconds)
3. Calculate the first 4 numbers based on the recursive equations given below. Round to the nearest hundredth.
a. Starting at 200
Next = Now × 1.03 + 200
b. Starting at 1,000 Next = Now × 0.95 + 50
c. Starting at 20,000
Next = Now × 1.04 - 500
4. In the year 2004 Stephen invested $12000 into a savings account that earns 3.1% interest per year. Each year
he also added $800 to the account.
a) Write a recursive equation.
b) Calculate the account value in 2010.
5. In the year 2007 Tynisha won the lottery and invested $525,000 into a savings account that earns 2.5%
interest per year. Each year she also withdraws $30,000 from the account for expenses.
a) Write a recursive equation.
b) Calculate the account value in 2020.
6. The population of Gurnee in the year 2002 was 60,000 people. The birth rate of the city is 6.4% and the death
rate is 4.8%. Each year 4000 people also moved out of the city.
a) Write a recursive equation.
b) Calculate the population in 2012.
7. The population of Libertyville in the year 2008 was 25,000 people. The birth rate of the city is 3.4% and the
death rate is 5.1%. Each year 1400 people also moved into the city.
a) Write a recursive equation.
b) Calculate the population in 2015.