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dmitriy555 [2]
1 year ago
6

There are multiple parts to this question. I need help with them.

Mathematics
1 answer:
Natalija [7]1 year ago
8 0

SOLUTION

From the table given, the linear model can be drafted from what we were given after using a graphing calculator, see the image below

The linear model can be derived using

y=ax+b

Putting in the values we have for a and b into the equation, we have

y=3.98654x-18.8737

But from our data, y represents the sales S and x represents time t.

Hence the linear model becomes

S(t)=3.98654t-18.8737

Now, let's work on the quadratic model

From the calculator, we have

The quadratic model can be derived using

y=ax^2+bx+c

Putting in the values of a, b and c into the equation above, we have

y=0.104084x^2+1.38443x-4.82228

So, we know y represents S and x represents t

We have the quadratic model as

S(t)=0.104084t^2+1.38443t-4.82228

The exponential model

From the graphing calculator, we have

So, from the image above, the exponential model can be derived using

y=a(b^x)

From the image above, substituting the values into the equation, we have

y=5.61741(1.13292^x)

Hence the exponential model becomes

S(t)=5.61741(1.13292^t)

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