Grass clippings are placed in a bin where they decompose. For [tex]0 \leq t \leq 30[/tex], the amount of grass clippings (in pounds) on day [tex]t[/tex] is modeled by [tex]A(t)=6.687(0.931)^t[/tex].

Find the time [tex]t[/tex] at which the amount of grass clippings in the bin is equal to the average amount of grass clippings in the bin over the interval [tex]0 \leq t \leq 30[/tex]



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