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2 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · Question 8(b)(ii)

Mr Thomas makes x bottles of juice and y cakes each day. The cost to make a bottle of juice is 3.50 and a cake is 5.25. Each day, he uses $163 to make the bottles of juice and cakes.

Write an inequality to represent this information.

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Other parts of this question

  1. 8(a)(i)Complete the table below for the function f(x) = 3 + 2x - x².[1 mark]
  2. 8(a)(ii)Complete the grid below to show all the points in the table on page 25 and hence, draw the graph of the function f(x) = 3 + 2x - x² for -2 ≤ x ≤ 4.[2 marks]
  3. 8(a)(iii)a)Using the graph on page 26, determine the coordinates of the maximum point of f(x).[1 mark]
  4. 8(a)(iii)b)Using the graph on page 26, determine the range of values of x for which f(x) > 0.[2 marks]
  5. 8(a)(iii)c)Using the graph on page 26, determine the gradient of f(x) at x = 1.[1 mark]
  6. 8(b)(i)Write TWO inequalities to represent this information.[2 marks]
  7. 8(b)(iii)Show that on any given day, it is NOT possible for Mr Thomas to make 50 bottles of juice and 12 cakes.[1 mark]

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