Question

5 helga signs up to coach hockey. she wants to make at least $775 during the season. she gets $200 at the start of the season and $50 for each practice session she has. how many practice sessions does helga need to have this season?

Explanation:

Step1: Define variables and inequality

Let \( x \) be the number of practice sessions. Her total earnings are \( 200 + 50x \), and she wants at least \( 775 \), so the inequality is \( 200 + 50x \geq 775 \).

Step2: Subtract 200 from both sides

\( 50x \geq 775 - 200 \)
\( 50x \geq 575 \)

Step3: Divide both sides by 50

\( x \geq \frac{575}{50} \)
\( x \geq 11.5 \)
Since the number of sessions must be an integer, \( x \geq 12 \).

Answer:

Helga needs to have at least 12 practice sessions this season.