Mrs.B is making 51 loaves of banana bread for the bake sale. The number of bananas needed is directly proportional to the number of loaves she will make. For 7 loaves of banana bread it takes 21 bananas which statement is correct
b = k l, where b is the number of bananas, l is the number of loaves, and k is a constant
when l = 7, b = 21
21 = k(7)
k = 3
so :
b = 3l
to make 51 loaves ....
b = 3(51) = 153
To find the statement that is correct, we need to determine the proportionality relationship between the number of loaves of banana bread and the number of bananas needed.
Let's start by using the information provided. We know that for 7 loaves of banana bread, it takes 21 bananas. Therefore, we can set up a proportion:
7 loaves / 21 bananas = x loaves / y bananas
Now, we can use this proportion to find the number of bananas needed for 51 loaves of banana bread:
(7/21) = (x/51)
To solve for x, we can cross-multiply:
7 * 51 = 21 * x
357 = 21x
x = 357/21
x ≈ 17
So, for 51 loaves of banana bread, approximately 17 bananas would be needed.
Now, let's consider the given statements:
Statement A: For 51 loaves of banana bread, it takes 17 bananas.
Statement B: For 51 loaves of banana bread, it takes 21 bananas.
Based on our calculation, Statement A is correct. So, the correct statement is: For 51 loaves of banana bread, it takes 17 bananas.