Answer:
An inequality to model the situation is : ( 10 m + 3 n) ≥ 150
Here, m : The number of jeans sold
n : The number of shirts sold.
Step-by-step explanation:
Here, the profit on each sale of jeans = $ 10
The profit on each sale of shirt = $ 3
The profit needed to be made = AT LEAST $150
Now, here: Let us assume the number of jeans sold = m
And, The number of shorts sold =n
So, the profit on m jeans = m x ( Profit on 1 jeans) = m x ( $ 10) = 10 m
So, the profit on n shirts = n x ( Profit on 1 shirt) = n x ( $ 3) = 3 n
⇒ The total profit on m jeans + n shirts = ( 10 m + 3 n)
But, according to the question, the profit should AT LEAST $150.
⇒ TOTAL PROFIT ≥ $ 150
⇒ ( 10 m + 3 n) ≥ 150
Hence, an inequality to model the situation is : ( 10 m + 3 n) ≥ 150