Answer: [tex]\boldsymbol{f(t) = 6(0.88)^t}[/tex] which is choice A
This is the same as writing f(t) = 6(0.88)^t
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Explanation:
Exponential equations can be written in the form [tex]y = a*b^x[/tex]
The 'a' represents the starting amount which means a = 6.
The b value is tied to the growth or decay.
In this case, we have r = -0.12 representing a decay of 12%
So b = 1+r = 1 + (-0.12) = 0.88
Therefore, we go from [tex]y = a*b^x[/tex] to [tex]y = 6(0.88)^x[/tex]
Then replace x with t, and replace y with f(t) to end up with [tex]f(t) = 6(0.88)^t[/tex]
Note: the 0.88 represents having 88% leftover when you lose 12% of the mass.
