Answer:
[tex]c > 0\\t>0\\c+t\geq 60[/tex]
[tex]6c+4t\leq300[/tex]
Step-by-step explanation:
Given that:
[tex]c[/tex] represents the number of cucumber plants
[tex]t[/tex] represents the number of tomato plants
Now, as per the question statement, we can write the inequalities.
The students need to plant some of each plants and at least 60 plants.
i.e.
[tex]c > 0\\t>0\\c+t\geq 60[/tex]
Area required to plant each cucumber plant = 6 sq ft
Area required to plant each tomato plant = 4 sq ft
Area required to plant [tex]c[/tex] cucumber plants = 6[tex]c[/tex] sq ft
Area required to plant [tex]t[/tex] tomato plants = 4[tex]t[/tex] sq ft
Total area is at the maximum 300 square feet
[tex]6c+4t\leq300[/tex]
Therefore, the inequalities to represent the situation are:
[tex]c > 0\\t>0\\c+t\geq 60[/tex]
[tex]6c+4t\leq300[/tex]
