Based on the equation x + 2y = 7, the graph shows a linear relationship between x and y where the total amount of chips in the bag in ounces is represented by y and time in minutes is represented by x.
1) The end behavior of the graph shows that as x approaches -∞, y also approaches -∞ and as x approaches +∞, y approaches +∞. This indicates that as more time passes, the total amount of chips in the bag increases.
2) A reasonable domain for this scenario would be from 0 to 7, as the total amount of chips in the bag cannot be negative and cannot exceed 7 ounces.
3) A reasonable range for this scenario would be from 0 to 3.5, as the total amount of chips in the bag cannot be negative and cannot exceed 3.5 ounces at any given time.
The graph below represents the total amount of chips in the bag in oz., y, over
time, x, in minutes.
x+2y=7
(7.0) x
6.
6
(0,3.5)
2
4-2 0 24
-2
4
9
-6
8
Figure 1
(7.0) x
1) What is the end behavior of the graph?
2) What would be a reasonable domain (input) for this scenario?
3) What would be reasonable range (outputs) for the scenario?
End Behavior
As x goes to -∞, y goes to -∞. As x goes to
+∞, y goes to ∞o.
As x goes to -∞, y goes to +∞. As x goes to
+∞, y goes to -∞.
Reasonable domain
:: [0, 3.5] :: [0,7]
Reasonable outputs
:: [0,3.5] :: [0,8] :: [0,7]
1 answer
3 answers