Document 6563877

Name: ____________________________
Ratios and Proportions – Unit Rate and Constant Rate of Change
1
The table below shows the number of pages
Adriano read in x hours.
3
Date: _________
PreAlgebra
Sheet # 02 - 13
The table and graph below show the hourly charge
to rent a bicycle at two different stores.
Part A Graph the data then
determine the slope of the
line.
Part B Discuss what the slope means as the constant rate of
change.
Which store charges more per hour? Explain.
Part C What does the ordered pair (1, 50) represent? Is this
the constant unit rate? Explain why or why not.
2
The table below shows the relationship between
the number of feet and the number of yards.
4
The table, graph, and equation below show the
amount of money Mi-Ling, Daniel, and Sebastian
save each week.
Part A Graph the data then
determine the slope of the
line.
Sebastian’s Savings
y = 5x
Part A Who saves more each week? Explain.
Part B Discuss what the slope means as the constant rate of
change.
Part C What does the ordered pair (1, 3) represent? Is this
the constant unit rate? Explain why or why not.
Part B Refer to the graph of Daniel’s Savings. Explain
what the points (0, 0) and (1, 10) represent.
5
The Guzman, Hashimoto, and Castellano
families each took a 4-hour road trip. The
distances traveled by each family are shown
in the table, graph, and equation below.
Castellano’s Road Trip
8
9
y = 50 x
Taxi cab passengers are charged $2.50 upon
entering a cab. They are then charged $1.00 for
every mile travelled. Is the cost to miles travelled
a proportional relationship? Explain.
A restaurant charges $5 for one sandwich, $9.90
for two sandwiches, and $14.25 for three
sandwiches. Is the cost to number of sandwiches
a proportional relationship? Explain.
Which family averaged fewer miles per hour? Explain.
6
The table shows the cost to rent a paddle boat
from two businesses.
10
The graph below shows the proportional
relationship between x, the number of eggs used in
an egg casserole, and y, the number of servings in
the casserole.
Part A What does (1, 20) represent?
Which equation describes the proportional
relationship shown above?
Part B What does (2, 50) represent?
7
The graph below shows the distance David
traveled while jogging. Find David’s constant
rate of change in feet per second.
11
A
y=
3
x
2
C
y=
2
x
3
B
y=
3
x +1
2
D
y=
2
x +1
3
A garden hose leaks
3
1
gallon of water in hour.
8
4
At this rate, how many gallons of water will the
hose leak in 1 hour?
A
3
gallon
32
C
3
1 gallons
8
B
5
gallon
8
D
1
1 gallons
2