4p + 6t ≤ 150 inequality represents this situation
Given that,
tomato plant is represented by "t"
pepper plant is represented by "p"
Malia's garden has an area of 150 square feet
Given that each tomato plant "t" requires 6 square feet of space
So, the area required to plant "t" tomato plants:
= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6t
Each pepper plant p requires 4 square feet of space
So, the area required to plant p pepper plants
= p x ( Area required by 1 pepper plant) = p x ( 4 sq ft) = 4p
Given that total area of garden = 150 square feet
area of "p" pepper plants + area of "t" tomato plants = 4p + 6t
So, now according to the question:
The area occupied by both plants must be less than or equal to total area of garden
Total area of both plants ≤ Total area of the garden
4p + 6t ≤ 150
Thus inequality is found