(x-4)^2-9=0 solve for x
1 answer:
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Answer:
Linear function with rate of change/growth = 2.5, which agrees with the fourth statement listed in the answers options.
Step-by-step explanation:
Notice that both columns of reported x and y values are increasing.
Then examine how the given x-values increase:
-2, 2, 6, 10, 14 (in steps of 4 units)
and how their corresponding y-values increase:
-2, 8, 18, 28, 38 (in steps of 10 units)
therefore, if we do the rate of change for any pair and
, we get the following constant rate of change:
Given that this relationship is valid for any pair of (x,y) values. we conclude that the rate of increase is constant, and therefore we are in the presence of a linear function, whose rate of change is 2.5
The y values from:
1. ₋6
2. ₋3
3. 0
4. 3
Given the x values and y value as y = 3x
1. when x = ₋2 then y = 3x
y = 3(₋2)
y = ₋6
2. when x = ₋1 then y = 3x
y = 3(₋1)
y = ₋3
3. when x = 0 then y = 3x
y = 3(0)
y = 0
4. when x = 1 then y = 3x
y = 3(1)
y = 3
therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.
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