Question

The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 square feet of growing space, and tomato plants require 4 square feet of growing space. The students want to plant some of each type of plant and have at least 60 plants. Select all the equations or inequalities that could describe this situation.

A) Cucumber plants (C) + Tomato plants (T) = 300

B) C + T ≥ 60

C) 6C + 4T ≤ 300

D) 6C + 4T = 60

Answer 1

The correct equations or inequalities for the gardening club's situation are B) C + T ≥ 60, indicating that there must be at least 60 plants, and C) 6C + 4T ≤ 300, which means that the area requirements for all plants must not exceed the available 300 square feet.

Step-by-step explanation:

The gardening club at school has several requirements for planting their vegetables: they have 300 square feet of planting beds, cucumber plants require 6 square feet each, and tomato plants require 4 square feet each. In addition, the students aim to have at least 60 plants. We need to select the equations or inequalities that represent this situation correctly.

B) C + T ≥ 60: This inequality correctly states that the sum of cucumber (C) and tomato (T) plants should be at least 60 to meet the club's goals.C) 6C + 4T ≤ 300: This inequality represents that the total space used by all cucumber and tomato plants should not exceed the available 300 square feet, taking into account the area requirements for each type of plant.

The other equations, A) Cucumber plants (C) + Tomato plants (T) = 300 and D) 6C + 4T = 60, do not accurately represent the constraints of the problem.