The exponential model best represents the data is B. f(x) = 5(0.2)^x
<h3>How to determine the
exponential model?</h3>
From the table of values, we have the following points:
(x, y) = (0,5) and (1,1)
An exponential model is represented as:
y = ab^x
Substitute (x, y) = (0,5)
5 = ab^0
5 = a
This gives
a = 5
So, we have:
y = 5b^x
Substitute (x, y) = (1,1)
1 = 5b^1
This gives
5b = 1
Divide by 5
b = 0.2
Substitute b = 0.2 in y = 5b^x
y = 5(0.2)^x
Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x
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➷ The ratio is simply just 7:10
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Given
we are given a function

over the interval [0,5].
Required
we need to find formula for Riemann sum and calculate area under the curve over [0,5].
Explanation
If we divide interval [a,b] into n equal intervals, then each subinterval has width

and the endpoints are given by

For k=0 and k=n, we get

Each rectangle has width and height as

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

Here




Now Area=

So the required area is 66.6 sq units.
Sheila is c+2 if that’s what your asking