Linear Functions
Have the students get in groups of two and then decide if the different situations are or
are not linear functions. Once they made their choices, go over the answers. They may
take a moment and graph the situations if they are not sure.
1. The table shows the measures of the sides of several rectangles.
Are the widths of the rectangles a linear function of the lengths?
x(length) y(width)
1
64
4
16
8
8
10
6.4
2. Tickets to the school dance cost $5 per student. Are the ticket sales a linear
function of the number of tickets sold?
3.
The table shows the minimum number of calories that a tiger cub should eat. Is
the calories a linear function of its age in weeks?
x(age)
y(calories)
1
825
2
1000
3
1185
4
1320
4. The table shows the height of several buildings. Are the heights of the buildings a
linear function of the number of stories?
Building
Stories
Height(ft)
Harris Bank
35
510
One Financial Place
40
515
Kluczynski Federal Bldg.
45
545
Mid Continental Plaza
50
582
North Harbor Tower
55
556
5. The Guzman family drove from Anderson to Myrtle Beach. Use the table to
determine if the distance driven is a linear function of the hours traveled.
Time(hrs.) Distance(mi.)
1
65
2
130
3
195
4
260