The minimum number of batches Joyce can produce is one.
The price for 3 sandwiches amounts to $18. Since the cost, c, of a ham sandwich directly correlates with the quantity, n, and is told that c equals $54 for 9 sandwiches, the cost per sandwich is $6. Multiplying $6 by 3 gives a total of $18.
The recipe uses

cups of white flower together with 6 cups of wheat flower.
Therefore, the combined quantity of flower equals

If

represents that combined amount, the equation to write is:

Constraints are as follows:
y can only be

6
Note that if y = 0 then x would have to be -6, which is not possible.
Answer:
You need to purchase 3 shirts to be able to use your coupon.
Step-by-step explanation:
Each shirt originally costs $17.99.
There is a 20% discount on this specific brand of shirts.
$17.99 × 0.2 = $3.60 (discount per shirt)
Subtracting the discount from the original price:
$17.99 - $3.60 = $14.39 (price per shirt after discount)
To qualify for the $10 off coupon which requires a $40 minimum purchase:
$40 ÷ $14.39 ≈ 2.779, rounded up to 3 shirts
Therefore, you must buy 3 shirts.
3 shirts × $14.39 = $43.17, surpassing the $40 minimum needed to apply the $10 discount.