Question

A local bakery is known for its two most popular items: banana nut bread and glazed doughnuts. This table shows how much flour the bakery uses to make various amounts of banana nut bread. Banana nut bread Loaves Flour (cups) 12 30 18 45 30 75 This equation describes how many cups of flour, y, the bakery uses to make x batches of doughnuts. y=4.25x Today, the bakery plans to make 20 loaves of banana nut bread and 10 batches of glazed doughnuts. How much flour will the bakery use? cups of flour

Answer 1

92.5 cups

Explanation:

Let's first find out how much flour the bakery will use for 20 loaves of banana nut bread.

According to the given table, the relationship between the number of loaves (x) and the cups of flour (y) is:

`\sf y = mx`

`\sf m = (30)/(12)=(45)/(18)=(75)/(30) =(5)/(2)`

So, relationship will be:

`\sf y = (5)/(2)x`

Now, substitute the value of
`\sf x = 20` into the equation to find the cups of flour for banana nut bread:

`\sf y = (5)/(2) * 20`

`\sf y = (5 * 20)/(2)`

`\sf y = (100)/(2)`

`\sf y = 50`

So, the bakery will use 50 cups of flour for 20 loaves of banana nut bread.

Next, for the glazed doughnuts, the bakery plans to make 10 batches, and the equation is given as:

`\sf y = 4.25x`

Substitute
`\sf x = 10` into the equation:

`\sf y = 4.25 * 10`

`\sf y = 42.5`

So, the bakery will use 42.5 cups of flour for 10 batches of glazed doughnuts.

Now, add the flour used for banana nut bread and glazed doughnuts:

`\sf \text{Total flour used} = \text{Flour for banana nut bread} + \text{Flour for glazed doughnuts}`

`\sf \text{Total flour used} = 50 + 42.5`

`\sf \text{Total flour used} = 92.5`

Therefore, the bakery will use 92.5 cups of flour in total.