Greesire acch Mathematics 3 A baker made 8 pounds of cookie dough. The baker used the dough to make several batches of cookies. The graph shows the amount of cookie dough that is needed to make different numbers of batches of cookies. Cookies Based on the graph, which statement correctly explains the number of batches of cookies the baker can make from the 8 pounds of dough? A The baker can make 8 batches of cookies because it takes 1 pound of dough to make 1 batch of cookies. B The baker can make 16 batches of cookies because it takes 1 pound of dough to make 1 batch of cookies. C The baker can make 8 batches of cookies because it takes 1 pound of dough to make 2 batches of cookies. D The baker can make 16 batches of cookies because it takes 1 pound of dough to make 2 batches of cookies. 17 GO ON -
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Here is a graph that shows some values for the number of cups of sugar, $s$, required to make $x$ batches of brownies. a. Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph. $$ \begin{array}{|l|l|l|l|l|l|l|l|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline s & & & & & & & \\ \hline \end{array} $$ b. What does the point $(8,4)$ mean in c. Write an equation that shows the terms of the amount of sugar and amount of sugar in terms of the number of batches of brownies? number of batches.
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Two Related Quantities, Part 2
This double number line diagram shows the flour in cups $\stackrel{0}{0}$ amount of flour and eggs needed for 1 batch of cookies. number of eggs $\frac{3}{0} \longrightarrow$ a. Complete the diagram to show the d. How much flour is used with 6 eggs? amount of flour and eggs needed for 2 , 3 , and 4 batches of cookies. e. How many eggs are used with 15 cups of flour? b. What is the ratio of cups of flour to eggs? c. How much flour and how many eggs are used in 4 batches of cookies?
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When Tracy McCoy wakes up Saturday morning, she remembers that she promised the PTA she would make some cakes and/or homemade bread for its bake sale that afternoon. However, she does not have time to go to the store to get ingredients, and she has only 3 hours available to bake. A cake requires 3 cups of flour, and a loaf of bread requires 8 cups; Tracy has 20 cups of flour. A cake requires 45 minutes to bake, and a loaf of bread requires 30 minutes. The PTA will sell a cake for $10 and a loaf of bread for $6. Tracy wants to decide how many cakes and loaves of bread she should make. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
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