Inequalities with Real-World Contexts

A number decreased by 7 is less than 15. What is the inequality that represents this situation?

A tree planter gets paid $95 per day plus $10 for each tree that is planted. The tree planter wants to make at least $285 dollars on a given day.

Select the inequality that represents the number of trees (t) that need to be planted for the tree planter to earn at least $285.

• 95 + 10t ≥ 285

• 95 + 10t > 285

• 95 + 10t ≤ 285

• 95t + 10 ≥ 285

• A number line with a closed circle on 5 and shading to the left

• A number line with an open circle on 5 and shading to the left

• A number line with a closed circle on 5 and shading to the right

• A number line with an open circle on 5 and shading to the right

A baker gets paid $100 per day plus $4 for each cookie that is baked. The baker wants to make at least $200 dollars on a given day.

Select the inequality that represents the number of cookies (c) that need to be baked for the baker to earn at least $200.

• 100c + 4 ≥ 200

• 100 + 4c ≤ 200

• 100 + 4c ≥ 200

• 100 + 4c = 200

Sophia is purchasing 6 identical notebooks for school. She has a $15 coupon and wants to spend no more than $90 in total.

Solve the inequality to determine the possible prices for each notebook.

• n ≤ 15

• n ≤ 12.50

• n ≤ 17.50

• n ≤ 10

• A number line with an open circle on 2 and shading to the right

• A number line with a closed circle on 2 and shading to the right

• A number line with an open circle on 2 and shading to the left

• A number line with a closed circle on 2 and shading to the left