Question

kenji is baking a loaf of bread and 6 bagels. he has 21 teaspoons of sesame seeds. he uses 9 teaspoons of sesame seeds on the loaf of bread. he wants to know how many teaspoons of sesame seeds he can use on each bagel. let x be the number of teaspoons of sesame seeds on each bagel. solve the inequality ( 9 + 6x leq 21 ). which graph best represents the teaspoons of sesame seeds kenji can use on each bagel?

Explanation:

Step1: Subtract 9 from both sides

$$9 + 6x-9\leq21 - 9$$
$$6x\leq12$$

Step2: Divide both sides by 6

$$\frac{6x}{6}\leq\frac{12}{6}$$
$$x\leq2$$

The solution of the inequality \(x\leq2\) means that \(x\) can take values less than or equal to 2. On a number - line, we represent this as a closed circle at 2 (because 2 is included in the solution set, since the inequality is \(\leq\)) and a line extending to the left (towards smaller numbers).

Answer:

The graph with a closed - circle at 2 and a line extending to the left (the third graph in the bottom - left position if we assume a standard 2x2 arrangement of the graphs described) best represents the teaspoons of sesame seeds Kenji can use on each bagel.