7th Grade Sec 2.1 Skills Practice WS

7th Grade - Sec 2.1 Skills Practice Worksheet
Introduction to Direct Variation
1. In 2010, Chevrolet produced 12,194 Corvettes. That means they made Corvettes at a rate of about 34 cars per day.
a.
How many Corvettes did Chevrolet produce in 7 days? Show your work.
b.
How many days did it take Chevrolet to produce 1190 Corvettes? Show your work.
c.
Complete the table.
Time (days)
Number of Corvettes
7
21
1190
952
d.
Use the data in the table to complete the graph.
e.
Is the data in the graph discrete or continuous? Explain your reasoning.
f.
Does it make sense to connect the points in this graph? If so, connect them. Explain your reasoning.
g.
What is the ratio of Corvette production to time?
h.
Does the number of Corvettes vary directly with time? Explain your reasoning.
Complete the table and use the table values to complete a graph for each problem situation. For continuous
data, connect the data points with a line or a curve.
2. Katherine makes $12 per hour at her job.
Hours Worked
Pay (dollars)
2
3
5
120
15
240
3. A patient receives an intravenous saline solution from a 1000-milliliter IV fluid bag. The solution is dispensed at a
rate of 125 mL per hour.
Time
(hours)
Solution Left in Bag
(mL)
0
1
750
3
5
0
4. Vanessa and Michelle must decide how to divide 16 marbles among themselves.
Number of Marbles
Vanessa Takes
Number of Marbles
Michelle Takes
0
16
4
6
7
13
0
5. The area of a square is calculated by squaring the length of one side.
Square Side Length
(inches)
Area
(square inches)
1
4
3
25
7
9
6. The actual volume (in decibels) of a particular stereo doubles with each increase of 1 on the volume setting. The
volume settings on the stereo can only be whole numbers.
Volume Setting
Actual Volume
(decibels)
0
1
1
2
8
4
64