Question

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

Answer 1

$f(x)=119.67(0.61)x$

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

Answer 2

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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