Question

Grapes are sold by the pound. The table shows the total cost for different weights.

Total Cost ($)7.38 $ 14.76 $ 22.14
$7.38 = 3 pounds
$14.76 = 6 pounds
$22.14 = 9 pounds
Which equation expresses the relationship between the number of pounds, p, and the total cost, c?
p = 2.46c
c= p/2.46
c = p + 2.46
c = 2.46p

Answer 1

Answer:D

Explanation:

Answer 2

Option D.

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.

`c\propto p`

`c=kp` .... (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.

`7.38=k(3)`

Divide both sides by 3.

`(7.38)/(3)=k`

`2.46=k`

Substitute the value of k in equation (1).

`c=2.46p`

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.