By using the information given on the graph, we can see that a = 3.
<h3>
How to find the value of a?</h3>
Here we have an exponential of the form:
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
From the first equation we get that p = 4, replacing that on the second one we get:
So we conclude that a = 3.
If you want to learn more about exponential equations:
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Answer:
Non Proportional
Step-by-step explanation:
Answer:
$6.39
Step-by-step explanation:
Just add the cost of everything
3.18 + 1.25 + 1.96 = 6.39
Given this equation:
That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.
As shown in figure below, the tree is not limited, so this statement is false.
<span>
The tree is initially 2 ft tall
The tree was planted in x = 0, so evaluating the function for this value, we have:
</span>
<span>
<span>So, the tree is initially
tall.
</span>
Therefore this statement is false.
</span>
Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:
</span>
<span>
</span>if x = 7 then:
So, between the 5th and 7th years the height of the tree remains constant
:
This is also a false statement.
<span>
After growing 15 ft, the tree's rate of growth decreases.</span>
It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term
approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.
C. the addition property of equality