Question

Cailen has 2 hours to drive to her friend’s house and work on some assignments. Each assignment takes an average of 18 minutes, and it takes Cailen 10 minutes to drive to the house. What inequality describes this? How many assignments can Cailen complete?

Answer 1

Cailen can complete at least 6 assignments.

Explanation:

Given that:

Time Cailen have = 2 hours = 2*60 = 120 minutes

Time taken to drive to house = 10 minutes

Time left for assignments = 120 - 10 = 110 minutes

Time taken on one assignment = 18 minutes

Let,

x be the number of assignments.

18x + 10 ≤ 120

18x ≤ 120-10

18x ≤ 110

Dividing both sides by 18

`(18x)/(18)\leq (110)/(18)\\x\leq 6.11`

Hence,

Cailen can complete at least 6 assignments.