Year 10 Mathematics | Fun Learning Quest for Kids

You're running a weekend car wash to save for a new mountain bike. Your profit (in NZD) is modelled by the linear equation y = 15x – 20, where x is the number of cars washed. What does the gradient of 15 tell you in this real-world context?

You're analysing a rugby player's conversion kick. The ball's height (in metres) after t seconds is given by h(t) = –5t² + 12t + 2. What is the maximum height the ball reaches? (Hint: find the vertex of the parabola.)

You're comparing two mobile plans in Aotearoa: Spark charges a $20 monthly fee plus $0.10 per minute, while 2degrees charges a $10 monthly fee plus $0.15 per minute. For what number of minutes m do both plans cost the same? Solve the simultaneous equations: Cost_Spark = 20 + 0.10m, Cost_2deg = 10 + 0.15m.