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Answer:
1. d. 4x +32y ≤ 224
2. b. x ≤ 24
3. yes
Explanation:
1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.
For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.
The total decorating time must be less than or equal to 224 minutes:
4x +32y ≤ 224
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2. For y=4, the constraint on x is ...
4x +32(4) ≤ 224
4x ≤ 96
x ≤ 24
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3. We can try the numbers and see if the inequality is true:
4(32) +32(3) ≤ 224
128 +96 ≤ 224 . . . . . . . . true (equal)
Yes, it is possible.