# Comparing Cookie Dough Brands

## Topic

When it comes to the number of cookies baked and the amount of time it takes to bake them, which cookie dough brand is more beneficial and efficient? Find out from Brooke's situation!

## Situation

Brooke was running late for her best friend's birthday party and forgot to purchase a gift. As a substitution, she wanted to make a batch of cookies but had a limited amount of time and therefore, wanted to use her time wisely by choosing a brand of cookie dough that offered the most cookies in a minimum amount of time.

## Statement of the Situation

The number of cookies that can be made in a certain amount of time.

## Data

There are two brands that are being compared, which is Pillsbury and Compliments.

Every 5 Pillsbury chocolate chip cookies are made in 5 minutes from the "ready to cook cookie dough" where the first 10 cookies are made in the first 5 minutes.

Every 5 Compliments chocolate chip cookies are made in 6 minutes from the "ready to cook cookie dough."

The equation for Pillsbury cookies is:

y = x + 5

Where "y" is the amount of time in minutes (baking time).

Where "x" is the number of cookies.

Where "5" is the constant.

The equation for Compliments cookies is:

y = (6/5)x

Where "y" is the amount of time in minutes (baking time).

Where "6/5" is the slope.

Where "x" is the number of cookies.

These equations prove that the data is linear as it follows the equation y = mx + b. When the variable x is substituted for a value given in the data, variable y is equivelant to the result.

Example:

y = mx + b

y = x + 5

y = 5 + 5

y = 10

The amount of time it takes to bake 5 Pillsbury cookies is 10 minutes.

## Conclusion

Compliments cookie dough and Pillsbury cookie dough will both make 25 cookies in 30 minutes. Before the point of intersection/breaking point, Compliments cookie dough makes more cookies in the least amount of time in contrast to Pillsbury cookie dough. After the point of intersection/breaking point, Pillsbury cookie dough makes more cookies in the least amount of time in contrast to Compliments cookie dough. Therefore, under 25 cookies will take less time to make if Compliments cookie dough is used, and over 25 cookies will take less time if Pillsbury cookie dough is used.

Brooke should use the brand Compliments if she needs under 25 cookies for the birthday party. Otherwise, Brooke should use the brand Pillsbury if she needs over 25 cookies for the birthday party she is attending.

## Summary Statement

Compliments cookie dough and Pillsbury cookie dough will both make 25 cookies in 30 minutes.