Question

4. Christel House Academy has a vegetable garden for students to grow theirown vegetables. They have 300 square feet of garden. Cucumber plantsrequire 6 square feet of growing space, and tomato plants require 4 squarefeet of growing space. The students want to plant some of each type of plantand have at least 60 plants.4. Select ALL the equations or inequalities that could describe thissituation. Let c represent the number of cucumber plants and t representthe number of tomato plants. *

Answer 1

Answer:

The correct options are:

c > 0

c + t ≥ 60

6c + 4c ≤ 300

Explanations:

Total area of garden = 300 square feet

Space required to plant 1 cucumber = 6 square feet

Space required to plant 1 tomato = 4 square feet

The number of cucumber = c

The number of tomato = t

Total number of plants is at least 60.

That is, total number of plants ≥ 60

Total number of plants = Number of cucumber + number of tomatoes

Total number of plants = c + t

Since total number of plants ≥ 60

c + t ≥ 60

Total area required to grow all the cucumber plants = 6c

Total area required to grow all the tomato plants = 4c

Since the total area of land is 300 square feet, the students cannot grow plants that will take more than the available land.

Therefore, 6c + 4c ≤ 300

Since the students want to plant some of each type of plants, it means

c > 0, and t > 0