A school buys x balls and y bats. The total number of balls and bats is not more than 30. (i) Write an inequality to represent this information. The school budget allows no more than $360 to be spent on balls and bats. The cost of a ball is $6 and the cost of a bat is $24. (ii) write an inequality to represent this information.
A school buys x balls and y bats.
The total number of balls and bats is not more than 30.
(i) Write an inequality to represent this information.
The school budget allows no more than $360 to be spent on balls and bats. The cost of a ball is $6 and the cost of a bat is $24.
(ii) write an inequality to represent this information.
(b) (i) Using a scale of 2 cm on the x-axis to represent 10 balls and 2 cm on the y-axis to represent 5 bats, draw the graphs of the lines associated with the inequalities at (a) (i) and (ii) above.
(ii) Shade the region which satisfies the two inequalities at (a) (i) and (ii) and the inequalities x is greater than or equal to 0 and y is greater than or equal to 0.
(iii) Use your graph to write the coordinates of the vertices of the shaded region.
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