This model can be used to predict the fuel consumption of a car, y y\,y miles per gallon, for a car travelling at x x\,x miles per hour.
y=55−0.015(x−50)2 y = 55 - 0.015(x - 50)^2 y=55−0.015(x−50)2Calculate the fuel consumption, in miles per gallon, of a car travelling at 70 miles per hour.
Deduce the speed at which the car has the greatest fuel efficiency.
State, giving reasons, the limitation on the values of xxx
303 exam-style questions on OCR (MEI) A Level Maths 1.2 Algebra, covering 1.2.1 Algebraic vocabulary and notation, 1.2.2 Solve linear equations, 1.2.3 Change the subject of a formula, 1.2.4 Solve quadratic equations, 1.2.5 Discriminant of a quadratic, 1.2.6 Linear simultaneous equations, 1.2.7 One linear one quadratic simultaneous equations, 1.2.8 Points of intersection and solutions, 1.2.9 Linear inequalities, 1.2.10 Quadratic inequalities, 1.2.11 Expressing solutions of inequalities, 1.2.12 Use and manipulate surds, 1.2.13 Rationalise the denominator, 1.2.14 Laws of indices, 1.2.15 Negative, fractional and zero indices, 1.2.16 Proportional relationships, 1.2.17 Partial fractions (A-level only), and 1.2.18 Simplify rational expressions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.