Question

Becky is working to earn a service badge. She earns 5 points for each hour that she tutors peers (x), and she earns 10 points for each Saturday that she performs community service projects (y). Becky needs to earn 250 or more points to receive the service badge. Which inequality models this situation?
A) 5x + 10y ≤ 250
B) 5x + 10y > 250
C) 5x + 10y < 250
D) 5x + 10y ≥ 250

Answer 1

Answer:

Option (D) 5x + 10y ≥ 250

Step-by-step explanation:

Since Becky needs to earn more than 250 points, therefore for every The points earned should be greater than or equal to 250

On weekdays, for each hour of tutoring she gets 5 points

Hence for $x$ hours on weekdays she will get $5x$ points

On Saturday, for each hour of community service she gets 10 points

therefore, for $y$ hours of community service, she will get $10y$ points

The sum of these points should be greater than or equal to 250

Therefore,

$5x+10y\ge 250$

Hope this answer is helpful.