Answer:
Option D.
Step-by-step explanation:
Let p be the number of ponds and c be the total cost of p .
We know that cost is directly proportional to quantity.
[tex]c\propto p[/tex]
[tex]c=kp[/tex] .... (1)
where, k is constant of proportionality or cost of 1 pound.
From the given table it is clear that the cost of 3 pound is $7.38.
Substitute c=7.38 and p=3 in the above equation.
[tex]7.38=k(3)[/tex]
Divide both sides by 3.
[tex]\frac{7.38}{3}=k[/tex]
[tex]2.46=k[/tex]
Substitute the value of k in equation (1).
[tex]c=2.46p[/tex]
The equation c=2.46p expresses the relationship between the number of pounds, p, and the total cost, c.
Therefore, the correct option is D.
