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

Verified Answer :

\(f(x)=119.67(0.61)x\)

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.

What is revenue ?

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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