Mathematics: Suppose you decide to start a cupcake business. you are able to bake and sell the cupcakes at your own house, so you don t have to pay for a place to run the business. you have $1000 to start the business. now it is time to purchase the ingredients to get started. in the beginning, you decide to make only one kind of cupcakes. the following recipe shows the ingredients for 12 cupcakes. chunky chocolate cupcake recipe 1.5 cup flour 2 teaspoons baking powder 3/4 cup coca powder 1/4 cup vegetable oil

The answer is C. 75. Hope this helps....

Suppose you decide to start a cupcake business. you

grayfaith16

10.03.2022

Amount given to start the business = $1000

Recipe is for baking = 12 cupcakes

Ingredients needed are :

Flour = 1.5 cups; total value = 0.60*1.5 = $0.90

Baking powder = 2 tsp; total value = 0.20*2 = $0.40

Cocoa powder = 3/4 cups; total value = 1.60*3/4 = $1.20

Vegetable oil = 1/4 cup; total value = 0.80*1/4 = $0.20

Sugar = 1 cup; total value = 0.30*1 = $0.30

Egg = 1; total value = 0.30*1 = $0.30

Milk = 1/2 cups; total value = 0.40*1/2 = $0.20

Butter = 1 cup; total value = 0.80*1 = $0.80

Powdered sugar = 4 cups; total value = 0.60*4 = $2.40

Vanilla = 1 tsp; total value = 1*1 = $1.00

Hence, total cost for preparing 12 cupcakes =

0.90+0.40+1.20+0.20+0.30+0.30+0.20+0.80+2.40+1.00 = $7.70

Let y be the cost, and x be the dozens of cupcakes.

So, cost function becomes :

7.70(x)=y

As the cost can at most be $1000, inequality becomes

so $y\leq 1000$

Solving this we get

$7.70x\leq 1000$

$x\leq \frac{1000}{7.7}$

$x\leq 129.87$

As cupcakes can be in whole number, so it becomes almost 129 dozen cupcakes.

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