Algebra 1 Question

Question

Stephanie is trying to figure out how much it will cost to make chocolate chip cookies. The pan will cost 4 dollars, and each batch of cookies will cost two dollars. She writes the equation shown.

y = 2x+4

In the equation, which value represents the number of batches made?

A. y

B. 2

C. x

D. 4

Answer 1

She has fixed and variable costs. The fixed cost (the pan) occurs just one time. In contrast, the more cookies she bakes, the higher her expense (the variable cost).

In the equation y = 2x + 4 where y is the total cost, the 4 is the pan cost (fixed) and the 2x represents the variable cost ($2.00/ batch). 2x is the cost of x batches - the bigger x is, the higher the total cost.

So x represents the number of batches.

Answer 2

The cost of the pan is - $4.00

The cost of 1 batch of cookies - $2.00

Total cost of the cookies = (total number of batches x cost of 1 batch of cookies) + cost of the pan

Total cost of the cookies = 2 x total number of batches + cost of the pan

When we compare the above equation with the given equation (y = 2x + 4)

x is the total number of batches.

Answer is : C.