Answered

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

Verified Answer :

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.

\(c\propto p\)

\(c=kp\)       .... (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.

\(\frac{7.38}{3}=k\)

\(2.46=k\)

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.

ktacobe

Answer:D

Step-by-step explanation:

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