Tim and Jane both work for a company that sells boxes of breakfast cereal. the boxes of cereal cost £3.00 and the amount of cereal in each box weighs 160g. the company wants to have a special offer. here is Tim's idea for the special offer: put 25% more cereal in each box and do not change the price here is Jane's idea: reduce the price and do not change the amount of cereal in each box Jane wants her idea to give the same value for money as Tim's idea by what percentage does she need to reduce the price?

25%

Step-by-step explanation:

As the given situation the parameters are below:-

Cost of each box = 3 pounds

Amount of cereal in each box = 160 g

now,

160 g of cereal = 100%

and

25% of 1 box of cereal = 25% of 160 g which is

As per the question,  it is mention that Jane need her idea to give the equal value of amount as Tim's idea, provided

160 g of cereal costs 3 pounds

and

1 g of cereal will cost

=  

40 g of cereal will cost

So, the percentage of the pound is of 3 pounds is 3 ÷ 4 ÷ 3 × 100

= 25%

Therefore as the situation, Jane need to decline the amount by 25% for the same amount as Tim's idea.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.