Answer:
Number of newspaper distributed = 250
Step-by-step 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.
[tex](x,y)=(2,200)[/tex] and [tex](x_1,y_1) = (4,300)[/tex]
Using point slope form.
Slope (m) = [tex]\frac{y_1-y}{x_1-x}[/tex]
(m) = [tex]\frac{300-200}{4-2}[/tex]
(m) = [tex]\frac{100}{2}[/tex]
(m) = 50
As the point are linear.
We can say that it will follow slope -intercept form: y=mx+b
Plugging the values,of [tex](x,y)= (2,200)[/tex] in the slope -intercpt form we will find the y-intercept (b) value.
⇒ [tex]b = y-m(x)[/tex]
⇒ [tex]b=200-50(2)[/tex]
⇒ [tex]b=200-100[/tex]
⇒ [tex]b=100[/tex]
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
⇒ [tex]y=m(x)+b[/tex]
⇒ [tex]y=50(3)+100[/tex]
⇒ [tex]y=150+100[/tex]
⇒ [tex]y=250[/tex]
Number of school newspaper distributed in third month = 250 .
