plotting quadratic and cubic graphs – outside the maths classroom mastering mathematics © hodder...
TRANSCRIPT
Plotting quadratic and cubic graphs – Outside the maths classroomMastering Mathematics © Hodder and Stoughton 2014
Maximising profit
Forward
Quadratic graphs are either U-shaped or ∩-shaped. U-shaped graphs have a minimum value of y and ∩-shaped graphs have a maximum value of y.
More
Quadratic graphs are very useful in the manufacturing industry to help maximise profits.
A company must decide how much to charge for an item.
The cheaper the item is, the more they will sell.
If they sell too few, they won’t make much money. If they sell a lot but too cheaply they won’t make much money.
They must find the best price to charge.
Conduct a survey to find out how much members of your class would pay for the latest mobile phone.
© G
oo
dM
oo
d P
ho
to –
Fo
tolia
.co
m
Plotting quadratic and cubic graphs – Outside the maths classroomMastering Mathematics © Hodder and Stoughton 2014
Martha is making some T-shirts to sell.
The materials for each one costs her £3.
She does some research.
She thinks every year she could sell
500 – 40x T-shirts
where £x is the price she charges.
She sells 500 – (40 × 5) = 500 – 200
= 300 T-shirts.
She makes (£5 – £3) = £2 profit oneach one.
So she makes 300 × £2 = £600 profit.
1. Martha charges £5. How much profit does she make in a year?
Maximum values
ForwardBack AnswerMore
Calculate Martha’s profit for other selling prices.
© G
oo
dM
oo
d P
ho
to –
Fo
tolia
.co
m
Plotting quadratic and cubic graphs – Outside the maths classroomMastering Mathematics © Hodder and Stoughton 2014
Maximum values
Martha is selling T-shirts.
The materials cost £3.
If she charges £5 she will make £600per year.
She draws a graph to show her profit for different selling prices.
A price of £7.75 will give her a profit of just over £900
1. How much should Martha charge to make a profit?
2. How much profit does she makeevery year?
Back AnswerMore
Profit (£)
Cost (£)
Create a spreadsheet to work Martha’s profit for different selling prices.
Plotting quadratic and cubic graphs – Outside the maths classroomMastering Mathematics © Hodder and Stoughton 2014
Back AnswerMoreForward
Information
1. Task instructions
More
Answer
Editable Teacher Template