Answer: Around 4681 grills
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Explanation:
x = number of years
y = number of grills sold
The equation we'll use is the exponential equation [tex]y = 3300(1.06)^x[/tex]
The 3300 of course is the initial amount sold. The 1.06 as the base indicates that the sales increase by 6% each year. Think of it the 1.06 as 1+0.06 = 100% + 6%
If we plugged x = 0 into that equation, then we get
[tex]y = 3300(1.06)^x = 3300(1.06)^0 = 3300[/tex]
which helps confirm the correct equation.
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Now plug in x = 6 to find the sales for year 6.
[tex]y = 3300(1.06)^x = 3300(1.06)^6 \approx 4681.11 \approx 4681[/tex]
The projected sales for year 6 are about 4681 grills. This is an estimate based on the assumption that the sales will increase by 6% each year. Of course, the reality is that things aren't always so simple like this (but it should give a fairly good idea of what's going on).
