A recipe calls for 2 8/9 cups of mix to make a batch of muffins. If she wants to make 21 1/2 batches of muffins, about how many cups of mix will she need? Estimate by rounding both fractions to the nearest whole number. So I got 7 and its saying its wrong please help.

Step-by-step explanation:

well, yes, of course 7 is wrong.

please read the description one more time, slowly and focused.

2 8/9 (or rounded 3) CUPS of mix for 1 (ONE) batch of muffins.

now she wants to make 21 1/2 (or rounded 22, not 21) BATCHES.

you understand ? the 3 is for cups for one batch, and the 22 is for batches (not for cups).

so, when you suddenly divide these two numbers, you actually compare apples and oranges ...

so, let's really think.

1 batch : 3 cups

22 batches : how many cups ?

do you see now what pieces of information are related ?

1 and 22. not 3 and 22.

but what we need to do now is multiply 3 cups by 22, so that the ratio cups to batches stays the same also for 22 batches.

so,

3×22 = 66

she will need approximately 66 cups of mix.

V = 268

Step-by-step explanation:

2 8/9 ≈ 3 cups per batch

21 1/2 = 21.5 ≈ 22

22 x 3 = V = 268

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out