For a recently released movie, the function y=119.67(0.61)x models the revenue earned, y in millions of dollars each week, x for several weeks after its release. based on the equation how much more money , in millions of dollars, was earned in revenue for week 3 than for week 5
\(f(x)=119.67(0.61)x\)
substitute three in to get
\(f(3)=119.67(0.61)(3)\)
which simplifies to 218.996.
week five is
\(f(5)=119.67(0.61)(5)\)
which simplifies to 364.9935
you can then find the difference which shows that week five earned $146.00 more than week three
The money in millions of dollars, was earned in revenue for week \(3\) than for week \(5\) was \(17.056\) millions.
Revenue is the amount of gross income produced through sales of products or services.
We have,
The function \(y=119.67(0.61)^{x}\) models the revenue earned.
Here,
\(y\) in millions of dollars each week,
\(x\) for several weeks after its release.
According to question,
We have,
\(x= week 3\) and \(x=week5\)
So Using the above given model for revenue earned,
\(y=119.67(0.61)^{3}=27.163\)
And
\(y=119.67(0.61)^{5}=10.107\)
So,
Difference of week \(3\) and week \(5 =\) revenue earned for week \(3\) than for week \(5\)
i.e.
revenue earned for week \(3\) than for week \(5=27.163-10.107=17.056\)
Hence, we can say that the money in millions of dollars, was earned in revenue for week \(3\) than for week \(5\) was \(17.056\) millions.
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