Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Respuesta :

she needs to sell 60 bracelets

Answer:

[tex]60\leq x\leq 100[/tex]

Step-by-step explanation:

Let x represent number of bracelets.

We have been given that Zoya has 100 bracelets. We can represent this information in an inequality as: [tex]x\leq 100[/tex]

We are also told that she plans to sell at $5 each. The earnings from selling x bracelets would be [tex]5x[/tex].

Zoya's goal is to earn at least $300. This means earnings from selling x bracelets should be greater than or equal to 300. We can represent this information in an inequality as:

[tex]5x\geq 300[/tex]

[tex]\frac{5x}{5}\geq \frac{300}{5}[/tex]

[tex]x\geq 60[/tex]

Upon combining both inequalities, we will get:

[tex]60\leq x\leq 100[/tex]

Therefore, the inequality [tex]60\leq x\leq 100[/tex] shows the number of bracelets Zoya can sell to meet her goal.