Question

Write a compound inequality using the variable d for how many ounces of canned food I need to feed each cat per day. ) The weight requirement for canned food is that cats should eat 1 to 1.5 ounces of canned food per pound of weight, per day. Write a compound inequality using the variable d for how many ounces of canned food I need to feed each cat per day. (Hint: you will need to consider both the maximum and minimum ounce values.

Answer 1

Assume that a cat has a weight "d" pounds.

The minimum amount that a cat can be fed is 1 ounce per pound, this means that the minimum amount it can be fed is 1*d = d ounces

The maximum amount that a cat can be fed is 1.5 ounce per pound, this means that the minimum amount it can be fed is 1.5*d ounces

Based on the above, the amount eaten by the cat should be greater than or equal d ounces and less than or equal 1.5*d ounces.
Therefore, the equation is:
d ounces ≤ amount eaten by cat ≤ 1.5*d ounces