4p + 6t ≤ 150 inequality represents this situation
<h3><u>Solution:</u></h3>
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
<em><u>So, the area required to plant "t" tomato plants</u></em>:
= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6t
Each pepper plant p requires 4 square feet of space
<em><u>So, the area required to plant p pepper plants
</u></em>
= 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
<em><u>So, now according to the question:
</u></em>
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
