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The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent
where 'a' is a constant and a>1
We have exponential function:
If we compare with
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
Learn more about the exponential function here:
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Answer:
Step-by-step explanation:
1. Subtract p:
3p +3q -p = 0
2p +3q = 0 . . . . collect terms
2p = -3q . . . . . . subtract 3q
p = -3q/2 . . . . . . divide by the coefficient of p
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2. Add 7 and divide by the coefficient of b:
4a +7 = 2b
(4a +7)/2 = b
Substitute for a to find the value of b.
(4(3) +7)/2 = b = 19/2
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3. Divide by the coefficient of r:
r = d/t
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4. The sum of length and width is half the perimeter:
15 + w = 90/2 = 45
w = 30 . . . . . . . subtract the length; the width is 30 units
