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 s 250
B)
5x + 10y > 250
5x + 10y < 250
D)
5x + 10y 250

Answer 1

`5x+10y \geq 250`

Explanation:

Let

x -----> the number of hours that she tutors peers

y ----> the number of Saturday that she performs community service projects

we know that

The number of hours that she tutors peers multiplied by 5 points for each hour plus the number of Saturday that she performs community service projects multiplied by 10 points by each Saturday, must be greater than or equal to 250 points

so

The inequality that represent this problem is

`5x+10y \geq 250`