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 $9 + 6x \leq 21$.
$x \leq 2$
which graph best represents the teaspoons of sesame seeds kenji can use on each bagel?

Explanation:

Step1: Isolate the variable term

Subtract 9 from both sides:
$9 + 6x - 9 \leq 21 - 9$
$6x \leq 12$

Step2: Solve for x

Divide both sides by 6:
$\frac{6x}{6} \leq \frac{12}{6}$
$x \leq 2$

Step3: Match to number line

Since $x \leq 2$, the graph has a closed dot at 2 and extends left (to values less than or equal to 2).

Answer:

$x \leq 2$
The correct graph is the top-left one (closed dot at 2, line extending left to negative infinity).