Answer:
Here,
s represents the cost of soup and c represents the number of can,
Also, s varies directly with c,
⇒ s ∝ c
⇒ s = kc -----(1)
Where, k is the proportionality constant,
Given, when c = 4, s = 3,
From equation (1),
[tex]3=k(4)[/tex]
[tex]\implies k=\frac{3}{4}[/tex]
Again from equation (1),
[tex]s=\frac{3}{4}c[/tex]
Let x-axis represents the number of can and y-axis represents the cost of soup,
For graphing :
[tex]s=\frac{3}{4}c[/tex] is a straight line
Where, s ≥ 0 and c ≥ 0 ( cost and number of cans can not be negative )
When, c = 0, s = 0,
When c = 4, [tex]s=\frac{3}{4}\times 4=3[/tex]
When c = 8, [tex]s=\frac{3}{4}\times 8=6[/tex]
When c = 16, [tex]s=\frac{3}{4}\times 16=12[/tex]
Thus, the line [tex]s=\frac{3}{4}c[/tex] is passing from the points (0,0), (4,3), (8,6) and (16,12).
