Question

writing and solving inequalities continued
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?
6 logan has a budget of $400 to have family pictures taken. there is a sitting fee of $38. prints cost $25 per page. how many pages of prints can logan order?

Explanation:

Problem 5 Step1: Set up inequality

Let \( x = \) practice sessions. Total earnings: \( 200 + 50x \geq 775 \)

Problem 5 Step2: Solve for x

Subtract 200: \( 50x \geq 575 \). Divide by 50: \( x \geq 11.5 \). Round up to 11.

Problem 6 Step1: Set up inequality

Let \( y = \) pages. Total cost: \( 38 + 25y \leq 400 \)

Problem 6 Step2: Solve for y

Subtract 38: \( 25y \leq 362 \). Divide by 25: \( y \leq 14.48 \). Round down to 14.

Answer:

11 practice sessions
14 pages