Question

stella makes and sells soaps at a farmers market. she charges $6 for a bar of soap and $9 for a shampoo bar. she needs to collect at least $150 to cover her expenses. the inequality 6x + 9y ≥ 150 models the situation. stella finds that the ordered pair (13, 8) satisfies the inequality. interpret the meaning of the ordered pair. enter your answers in the boxes. if stella sells \\(\square\\) bars of soap and \\(\square\\) shampoo bars, then she will cover her expenses.

Explanation:

Step1: Identify variables

In the inequality \(6x + 9y\geq150\), \(x\) represents the number of soap bars and \(y\) represents the number of shampoo bars.

Step2: Interpret ordered pair (13, 8)

The ordered pair \((13, 8)\) means \(x = 13\) and \(y=8\). So \(x = 13\) is the number of soap bars and \(y = 8\) is the number of shampoo bars.

Answer:

If Stella sells \(\boldsymbol{13}\) bars of soap and \(\boldsymbol{8}\) shampoo bars, then she will cover her expenses.