jamesmoorehead
contestada

Frank reads at least 24 pages but not more than 36 pages of a book. He reads 12 pages per hour.

The number of hours Frank reads p pages is modeled by a function.

t(p) = p12

What is the practical range of the function?

Respuesta :

candystarlover4

The real/true answer is all real numbers from 2 to 3, inclusive

(I took the test and it was correct)

calculista

Let

p-------> the number of pages

t-------> number of hours

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem the unit rate is equal to the constant of proportionality k

[tex]k=12\frac{pages}{hour}[/tex]

the linear equation is

[tex]p=12t[/tex]

solve for t

[tex]t(p)=p/12[/tex]

The domain of the function is the interval------->[tex][24,36][/tex]

because

[tex]24\ pages \leq p \leq 36\ pages[/tex]

Find the range of the function

For [tex]p=24[/tex]

[tex]t(24)=24/12=2\ hours[/tex]

For [tex]p=36[/tex]

[tex]t(36)=36/12=3\ hours[/tex]

therefore

the answer is

The range of the function is the interval------->[tex][2,3][/tex]

because

[tex]2\ hours \leq t \leq 3\ hours[/tex]

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