Respuesta :
Answer: 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=[tex]0.75(60)=$45[/tex]
Answer:
This constant of proportionality represents the lost fee, which is the relation between both variables.
Step-by-step explanation:
Givens
- The lost fee is 75% of the cost of the book.
- Sarah owes $60 to the school for the lost book.
Let's call [tex]c[/tex] the cost of the book and [tex]f[/tex] the lost feet. All this can be expressed as
[tex]f=0.75c[/tex]
This expression indicates that the lost fee is 75% of the cost of the book.
Notice that this is a linear equation, where [tex]f[/tex] and [tex]c[/tex] 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
[tex]60=0.75c\\c=\frac{60}{0.75}\\ c=80[/tex]
The book costs $80.