The student council is raising money by selling bottled water at a band competition. the table shows the prices for different brands. which brand costs the least per bottle? explain your reasoning.

12 pack

Step-by-step explanation:

for 12 pack which is $5.25 a bottle will cost $0.4375

The brand which cost least per bottle is:

                      Brand B

Brand A:

It cost $ 3.45 for a pack of 6 bottles.

This means that cost of 1 bottle= $ (3.45/6)

i.e.

cost of 1 bottle=$ 0.575

Brand B:

It cost $ 5.25 for a pack of 12 bottles.

This means that cost of 1 bottle= $ (5.25/12)

i.e.

cost of 1 bottle=$ 0.4375

Brand C:

It cost $ 10.99 for a pack of 24 bottles.

This means that cost of 1 bottle= $ (10.99/24)

i.e.

cost of 1 bottle=$ 0.4579

Since, 0.4375 is least among {0.575,0.4375,0.4579}

This means that the brand which cost least per bottle is: Brand B.

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.