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?

Answer 1

The answer be 25

Explanation:

Answer 2

C. $25

Explanation:

We will find,

The slope of the function using
`(y_(2)-y_(1))/(x_(2)-x_(1))`.

Taking the points (1,40) and (2,55).

Slope =
`(55-40)/(2-1)`

i.e. Slope =
`(15)/(1)`

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation
`y=mx+b`,

We have,
`40=15* 1+b`

i.e.
`b=40-15`

i.e. b= 25

Thus, the equation of the linear function is
`y=15x+25`.

This linear function represents the cost of the comic book since Lucy purchased it, where x= years.

So, the initial value of the comic book is when x= 0.

So,
`y=15* 0+25` i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.