mei67
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Twelve books cost $59.88 and
21 books cost $104.79. Is there is a
constant of proportionality between
these purchases? Explain.

Respuesta :

Answer:

Yes there is, and it is 4.99.

Step-by-step explanation:

The constant of proportionality (let's call it [tex]\alpha[/tex]) will relate the number of books bought [tex]N[/tex] and their cost  [tex]C[/tex] in the following way:

[tex]C={\alpha}N[/tex]

[tex] \therefore \alpha =\frac{C}{N}[/tex]

For the 12 books:

[tex]\alpha =\frac{59.88}{12} = 4.99.[/tex]

And for the 21 books:

[tex]\alpha =\frac{104.79}{21} = 4.99.[/tex]

The [tex]\alpha[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases.

P.S: [tex]\alpha[/tex] is the price per book.