Question

Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requires 4 square feet of space malia's garden has an area of 150 square feet which inequality represents this situation

Answer 1

4p + 6t ≤ 150 inequality represents this situation

Solution:

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