Question

a cookie company uses one cup of sugar for every 35 cookies it makes. let s represent the total number of cups of sugar used, and let n represent the number of cookies made. (a) write an equation relating s to n. equation: \boxed{} (b) graph your equation using the axes below.

Explanation:

Step1: Analyze the relationship

The company uses 1 cup of sugar for 35 cookies. So the number of cups of sugar \( S \) and the number of cookies \( N \) have a proportional relationship. The rate is \( \frac{1}{35} \) cup per cookie, meaning \( S=\frac{N}{35} \) (or \( N = 35S \), but we need \( S \) in terms of \( N \)).

Step2: Form the equation

Since for every 35 cookies, 1 cup of sugar is used, the equation relating \( S \) (cups of sugar) to \( N \) (number of cookies) is \( S=\frac{N}{35} \) (or equivalently \( N = 35S \), but the problem asks for \( S \) in terms of \( N \), so \( S=\frac{1}{35}N \)).

Answer:

\( S = \frac{N}{35} \) (or \( S=\frac{1}{35}N \))