An exponential function is such that it involves the input to be present as an exponent (power) of some constant. The growth rate is n%, while the Initial Amount is 312.
<h3>What are exponential functions?</h3>
When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function. Their usual form is specified below. They are written in several such equivalent forms.
Given the exponential equation y = 312(1.13)ⁿ, therefore, the growth rate is n%, while the Initial Amount is 312.
Learn more about Exponential Function:
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<span> When you want the x </span>intercepts<span> (x,0):. Set y=0 then solve for x</span>
Answer:
The input value that produces the same output value in both charts is 2.
Step-by-step explanation:
You are given two functions
and
with tables
![\begin{array}{cc}x&f(x)\\-3&3.5\\-2&3\\-1&2.5\\0&2\\1&1.5\\2&1\\3&0.5\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26f%28x%29%5C%5C-3%263.5%5C%5C-2%263%5C%5C-1%262.5%5C%5C0%262%5C%5C1%261.5%5C%5C2%261%5C%5C3%260.5%5Cend%7Barray%7D)
and
![\begin{array}{cc}x&g(x)\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26g%28x%29%5C%5C-3%26%5C%5C-2%26%5C%5C-1%26%5C%5C0%26%5C%5C1%26%5C%5C2%26%5C%5C3%26%5Cend%7Barray%7D)
First, fill in the second table:
![g(-3)=2\cdot (-3)-3=-6-3=-9\\ \\g(-2)=2\cdot (-2)-3=-7\\ \\g(-1)=2\cdot (-1)-3=-5\\ \\g(0)=2\cdot 0-3=-3\\ \\g(1)=2\cdot 1-3=-1\\ \\g(2)=2\cdot 2-3=1\\ \\g(3)=2\cdot 3-3=3](https://tex.z-dn.net/?f=g%28-3%29%3D2%5Ccdot%20%28-3%29-3%3D-6-3%3D-9%5C%5C%20%5C%5Cg%28-2%29%3D2%5Ccdot%20%28-2%29-3%3D-7%5C%5C%20%5C%5Cg%28-1%29%3D2%5Ccdot%20%28-1%29-3%3D-5%5C%5C%20%5C%5Cg%280%29%3D2%5Ccdot%200-3%3D-3%5C%5C%20%5C%5Cg%281%29%3D2%5Ccdot%201-3%3D-1%5C%5C%20%5C%5Cg%282%29%3D2%5Ccdot%202-3%3D1%5C%5C%20%5C%5Cg%283%29%3D2%5Ccdot%203-3%3D3)
Hence, the second table is
![\begin{array}{cc}x&g(x)\\-3&-9\\-2&-7\\-1&-5\\0&-3\\1&-1\\2&1\\3&3\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%26g%28x%29%5C%5C-3%26-9%5C%5C-2%26-7%5C%5C-1%26-5%5C%5C0%26-3%5C%5C1%26-1%5C%5C2%261%5C%5C3%263%5Cend%7Barray%7D)
The input value that produces the same output value in both charts is 2.
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Answer:
D. $116.00
Step-by-step explanation:
Rounding to the nearest 1/2 dollar, the costs for one child are ...
Total for one child = 39–67, so for 2 children will be 78–134. An answer choice in that range is $116.00.