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

6 t + 4 p ≤ 150 is the required inequality.

Explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants

= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p pepper plants

= p x ( Area required by 1 pepper plant) = p x ( 4 sq ft) = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants = (6 t + 4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t + 4 p) sq ft ≤ 150 sq ft

or, 6 t + 4 p ≤ 150 is the required inequality.