Sarah lost her science book. her school charges a lost book fee equal to 75% of the cost of the book. sarah received a notice stating that she owed the school $60 for he lost book. what is the constant of proportionality? what does it mean in the context of this situation

0.75,

The constant of proportionality is the ratio between two directly proportional quantities.

The cost of book changes but the lost book fee charge remains constantper book i.e.0.75

Step-by-step explanation:

Given: Let x be the cost of her book (in dollars).

Since, her school charges a lost book fee equal to 75% of the cost of the book.

Then, the the lost book fee=75% of x

Since 75% =0.75

Thus, the the lost book fee=$0.75x

The cost of book changes but the lost book fee charge remains constant per book i.e.0.75

Sarah received a notice stating that she owed the school $60 for he lost book.

The the lost book fee=

Step-by-step explanation:

Givens

Let's call the cost of the book and the lost feet. All this can be expressed as

This expression indicates that the lost fee is 75% of the cost of the book.

Notice that this is a linear equation, where and are directly proportional and the constant of proportionality is 0.75, which is 75%.

This constant of proportionality represents the lost fee, which is the relation between both variables.

Now, replacing values we can find the cost of the book

The book costs $80.

part a: 1.08

part b: 27.59