1.
Represent the relation using a table and mapping.
Determine domain and range. Determine if it is a function or not.
(2,2) (4,-1), (-5,3) (-1,4)
2.
Represent the relation as ordered pairs and mapping.
Determine domain and range. Determine if it is a function or not.
Now we know four different names for
slopes:
Rate of change
Unit rate
Constant of variation
Constant of proportionality
THEY ALL MEAN THE SAME THING
which is the ratio of change in y to
change in x
Make the direct
variation foldable
determine whether each linear function is a direct variation. If so, determine the
constant of variation. If not, explain why not.
11
12
14
16
Distance, y(miles)
$0.41
$0.82
$1.64
$2.46
Hours, x
5
8
11
14
Earnings, y
40
64
88
112
Hours, x
Write an equation for the direct variation. Then determine each
value.
A.
If y = 16 when x = 4, determine y when x = 9.
B.
If y = –5 when x = 2, determine y when x = 8.
Bruce rents snowmobiles to tourists. He charges $135 for 4
hours and $202.50 for 6 hours? What is the hourly rate Bruce
charges to rent a snowmobile?
The power absorbed by a solar panel varies directly with its
area. If an 8 square meter panel absorbs 8,160 watts of
power, how much power does a 12 square meter solar panel
absorb?
The amount Anna saves y varies directly with the number of
weeks he saves x as shown in the graph. Write a direct
variation equation. Identify the constant of variation and
interpret its meaning.
If Sam saves $30 dollar per week.
Who saves more per week.