A carton’s volume (shape 1) is 192 cm³. The manufacturer wants to change the profile of the carton whilst keeping the volume the same.

They reduce the longest side of the base to be a square, 4 cm x 4 cm (shape 2).

The volume still needs to be 192 cm, so what will the length of the third side need to be?

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250