Modelling with Functions (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Modelling with Functions
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

In P(x)=5x1000P(x) = 5x - 1000, where PP is profit and xx is units sold, what type is PP?

Dependent variable

Which function type is used when a relationship is directly proportional?

Linear: y=mx+cy = mx + c

Which function type is suitable for modelling projectile motion?

Quadratic: y=ax2+bx+cy = ax^2 + bx + c

Which function is used for population growth or radioactive decay?

Exponential: y=abxy = ab^x

Which function is often used for situations with diminishing returns?

Logarithmic: y=alog(x)+by = a \log(x) + b

£5 selling price, £2 production cost per unit, £1000 fixed costs. What is P(x)P(x)?

P(x)=3x1000P(x) = 3x - 1000

What does the break-even point represent in a profit function?

When profit P(x)=0P(x) = 0

For P(x)=3x1000P(x) = 3x - 1000, how many units needed to break even?

Approximately 334 units

Pool: 2400 litres, fills at 10 litres/min. Time to reach 75% capacity?

180 minutes

What is a key purpose of modelling with functions?

Represent real-world situations

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.