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4 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · 2021 · Paper 2 · Question 8(a)(iii)

Marla buys 2 types of mobile phones, B-Flo and C-Flex, from a company to retail. One B-Flo mobile phone costs 60 while one C-Flex costs 80. She buys x number of B-Flo phones and y number of C-Flex phones.

Represent the two inequalities on the grid shown. Label as R the region which satisfies both inequalities.

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Other parts of this question

  1. 8(a)(i)Marla must not spend more than $1\,200. Write an inequality to represent this information.[1 mark]
  2. 8(a)(ii)The number of B-Flo phones must be greater than or equal to the number of C-Flex phones. Write down an inequality in x and y to show this information.[1 mark]
  3. 8(a)(iv)The total number of mobile phones is represented by x + y. According to the graph on page 23, what is the largest possible value of x + y?[1 mark]
  4. 8(b)(i)On the grid provided on page 25, plot the remaining 4 points and draw the graph of the function y = x^2 + x - 4 for -4 \le x \le 3.[3 marks]
  5. 8(b)(ii)Write down the maximum or minimum value of the function.[1 mark]
  6. 8(b)(iii)Using a ruler, draw the axis of symmetry on the graph on page 25.[1 mark]

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