A bakery sells bagels at two different rates. When a customer buys fewer than 12 bagels, each one costs $1.25. When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75.

Which TWO inequalities and constraints below represent the price for b bagels??

Question 1 options:

1.25b when b 12


1b when b < 12, then 0.75b


1b when b ≤ 12, then 0.75b


0.75b for b < 12, then 1b


0.75b for b ≤ 12, then 0.75b

Respuesta :

Answer:

1.25b when b < 12 , 1b & then 0.75 b when b > 12

Step-by-step explanation:

  • Price for b bagels = Price x Quantity

* Less than 12 bagels bought, cost $1.25 per bagel

So, price for b bagels, when (b < 12) = 1.25b

* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel

So, price for b bagels, when (b = 12) = b

So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12

The inequality used to represent this constraints is:

Price = 1.25b  when b < 12

Price = 0.75b + 3 when b ≥ 12

Inequalities is an expression used to show the non equal comparison of numbers and variables.

Let b represent the number of bagels bought.

When a customer buys fewer than 12 bagels, each one costs $1.25. Hence:

Price = 1.25b  when b < 12

When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75. Hence:

Price = 12 + (b - 12)0.75 = 0.75b + 3 when b ≥ 12

The inequality used to represent this constraints is:

Price = 1.25b  when b < 12

Price = 0.75b + 3 when b ≥ 12

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