Question

Use the graph to estimate the number of school newspapers distributed in the third month.

250
400
500
700

Answer 1

Number of newspaper distributed = 250

Explanation:

Given:

A graph with linear increment in points.

Lets choose two points from the graph in (x,y) co-ordinate.

From the graph we see that:

For second month there are 200 newspaper distributed by the school.

For the fourth month there are 300 newspaper distribution.

Points in co-ordinate.

`(x,y)=(2,200)` and
`(x_1,y_1) = (4,300)`

Using point slope form.

Slope (m) =
`(y_1-y)/(x_1-x)`

(m) =
`(300-200)/(4-2)`

(m) =
`(100)/(2)`

(m) = 50

As the point are linear.

We can say that it will follow slope -intercept form: y=mx+b

Plugging the values,of
`(x,y)= (2,200)` in the slope -intercpt form we will find the y-intercept (b) value.

⇒
`b = y-m(x)`

⇒
`b=200-50(2)`

⇒
`b=200-100`

⇒
`b=100`

For third month the 'x' co-ordinate will be 3 and y-cordinate is the number of newspaper distributed.

Plugging the values of x=3, m=50 and b=100

⇒
`y=m(x)+b`

⇒
`y=50(3)+100`

⇒
`y=150+100`

⇒
`y=250`

Number of school newspaper distributed in third month = 250 .