Question

Robbie is using the recipe below to make chicken noodle soup. He plans to make 6 batches of the soup. He has 2/3 teaspoon of black pepper
[Chicken Noodle Soup]

4 cups chicken broth
1 medium carrot, sliced
1 stalk celery, sliced
1/2 cup uncooked egg noodles
1/8 teaspoon ground black pepper
1 cup shredded cook chicken

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Part A: Write an expression that Robie can use to determine how much black pepper is needed for 6 batches.
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Part B: Draw a Model to show how Robbie can find the product from Part A (don't say how to draw the model just say how to solve the expression in Part A.)
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Part C: Does Robbie have enough black pepper for 6 batches of the soup? Explain your reasoning. (<---PLEASE EXPLAIN.)

Answer 1

Part A: Write an expression that Robie can use to determine how much black pepper is needed for 6 batches.
 The first thing you should know in this case is the amount of pepper available and the amount of black pepper in each batches.
 Available = s 2/3 teaspoon
 Batches = 1/8 teaspoon
 Let
 x = number of batches:
 y = black pepper
 The expression is then:
 y = 1/8x
 0 <= x <= 6
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 Part B: Draw a Model to show how Robbie can find the product from Part A (do not say how to draw the model just say how to solve the expression in Part A.)
 You must graph the line of part A:
 y = 1/8x
 Then, check for x = 6 the value of y to know how much black pepper is needed for 6 batches.
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 Part C: Does Robbie have enough black pepper for 6 batches of the soup? Explain your reasoning. (<--- PLEASE EXPLAIN.) 
 Substituting x = 6
 y = 1/8 (6)
 y = 6/8
 y = 3/4
 3/4> 2/3
 Robbie has not enough black pepper for 6 batches of the soup