Question

28 multiple choice 1 point benny earns $12 per hour as a lifeguard. he earns a bonus of $75 for taking a training course. which graph best represents the number of hours he must work to earn at least $399? a. number - line with open - circle at 27 b. number - line with closed - circle at 27 c. number - line with closed - circle at 27 d. number - line with open - circle at 27 a b c d 29 multiple choice 1 point trevor solves the inequality 2.5x - 10 < 20. he must remove the cards below that are not part of the solution set. which card(s) should he remove?

Explanation:

Step1: Set up an inequality for Benny's earnings

Let $x$ be the number of hours Benny works. His total earnings are $12x + 75$. He wants to earn at least $399$, so the inequality is $12x+75\geq399$.

Step2: Solve the inequality for $x$

Subtract 75 from both sides: $12x\geq399 - 75=324$. Then divide both sides by 12: $x\geq\frac{324}{12}=27$.

Step3: Interpret the solution on the number - line

The solution $x\geq27$ is represented on a number - line with a closed circle at 27 (because 27 is included in the solution set, due to the $\geq$ sign) and an arrow pointing to the right.

Answer:

C.