Question

She earns $3.10 for each hour she works and $2.30 for each bushel of apples she picks. Her goal is to earn at least $100 this week.

Write an inequality that will help Tammy determine the number of hours (h) and bushels (b) she needs to reach her goal.

Answer 1

The inequality would be 3.1h + 2.3b ≥100

Explanation:

Earning of Tammy for each hour of work= $3.1

Total hours she worked= h

Earning for picking each bushel of apple= $2.3

Total bushel she picks= b

Her goal = minimum of $100

Hence total earning from working= earning from each hour* no of hours worked

Total earning= 3.1h

Similarly, total earning from picking up apple bushels= earning from picking one bushel*no of bushels picked

Total earning= 2.3b

According to question total earning must be greater than $100

Hence, 3.1h + 2.3b ≥100