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Answer:
The base and height of the garden are 4.60 ft and 5.60 ft.
Step-by-step explanation:
The area of the garden is, <em>A</em> = 24 ft².
The base height of the garden are:
base (<em>b</em>) = 6x - 4
height (<em>h</em>) = x + 3
Compute the value of <em>x</em> as follows:
The last equation is a quadratic equation.
Compute the roots of the quadratic equation as follows:
The value of base and height are:
Thus, the base and height of the garden are 4.60 ft and 5.60 ft.
This function starts at , so we have
.
Then, every time increments by 1,
doubles. This is typical of exponential functions. In linear functions, every time
increments by 1,
increments by a fixed amount (the slope of the function).
So, this is an exponential function, and the equation is