WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an average of 4 minutes to decorate a cupcake and 32 minutes to decorate a cake. Last week, Nancy spent no more than 224 minutes decorating cakes and cupcakes. Assume x represents the number of cupcakes and y represents the number of cakes Nancy decorated. 1. Which inequality best represents the possible combinations of cupcakes and cakes Nancy decorated? 2. If Nancy decorated a total of 4 cakes last week, which inequality represents the possible number of cupcakes she decorated? 3. Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week? Explain. a. 4x + 32y > 224 b. 4x - 32y < 224 c. 32x + 4y < 224 d. 4x + 32y < 224 a. X < 96 b. x < 24 C. X < 96 d. x < 24 1 2- 3 - > 1​

WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes It takes her an average of 4 minutes to decorate a class=

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Answer:

32

Step-by-step explanation:

The inequality which best represents the possible combinations of cupcakes and cakes Nancy decorated is 4x + 32y > 224

Given:

Time to decorate cupcake = 4 minutes

Time to decorate cake = 32 minutes

Total time spent decorating last week = more than 224 minutes

number of cupcakes = x

number of cakes = y

The inequality:

4x + 32y > 224

  • A total of 4 cakes last week

4x + 32(4) > 224

4x + 128 > 224

4x > 224 - 128

4x > 96

x > 96/4

x > 24

  • Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week?

4x + 32y > 224

4(32) + 32(3) > 224

128 + 96 > 224

224 > 224

Therefore, it is possible that Nancy decorated 3 cakes and 32 cupcakes last week

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