Question

The graph shows the relationship between the late fines the library charges and the number of days late

Answer 1

A. because in all the points on the graph, you could do 6*0.25 (for example), and get 1.5 which is the y (6 was the x). it works for them all

Answer 2

`y=0.25x`

Explanation:

We are given that a graph which shows the relationship between the late fines the library charges and the number of days late.

From given graph we can see that

The graph passes through the points (2,0.5) and (10,2.5).

We have to find the equation for the relationship.

Slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

By using the formula

Slope of graph=
`m=(2.5-0.5)/(10-2)`

Slope of graph=m=
`(2)/(8)=(1)/(4)`

Point slope- form:
`y-y_1=m(x-x_1)`

We have
`y_1=2.5,x_1=10`

Substitute the values then we get

The equation of for the relationship

`y-2.5=(1)/(4)(x-10)`

`y-2.5=0.25x-2.5`

`y=0.25x-2.5+2.5=0.25x`

Hence, the equation for the relationship is given by

`y=0.25x`