Question

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it?

A graph titled Value of Lucy' s Comic Book has Years since Lucy bought comic book on the x-axis, and value (dollars) on the y-axis. Points are at (1, 40), (2, 55), (3, 70), (4, 85).
a.$10
b.$15
c.$25
d.$40

Answer 1

Required Answer:

Here too, No graph is provided but some information regarding a book bought by Lucy is given.

• Years since she bought is represented in X axis.
• The value of the book increasing in the subsequent years in represented in Y axis.

The points given:

• (1 , 40)
• (2, 55)
• (3, 70)
• (4, 85).......and so on.

After 1 year of buying of the book, the value increases to 40 dollars. Then, after 2 years, it increases to 55. Similarly to 70 and 85 dollars respectively in the third and fourth years.

$\rm{ \longrightarrow{Increase \: in \: value = 55 - 40 = 15}}$

This is increasing consistently in an uniform manner. The increase is of 15 dollars in the successive years.

Before 1 year of book bought by Lucy, the initial amount should be 15 dollars less than the successive first year. This means that:

Value of the book bought by Lucy

• 40 - 15 = 25

$\large{ \therefore{ \underline{ \boxed{ \bf{ \gray{Option \: C}}}}}}$

And we are done !!