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

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.

      .... (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.

Divide both sides by 3.

Substitute the value of k in equation (1).

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.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.