Evaulation, Interpretation and commentation

Given that the integral is a to 4 sig figs comment on the accuracy of your answer [which is very similar and is the result of the trapezium rule]

accurate etc (as and a b are close), could show percentage error

Interpret the value of the constant a [where the model is the world population since 2004 in billions =ab^t]

the world population in billions in 2004

Interpret the value of the constant b [where the model is the world population since 2004 in billions =ab^t]

b = QUOTE represents the scale factor of the yearly increase in the world population OR the population will rise by (converted to percentage) % each year

comment on the reliability of the answer to part c [an estimate for population in 2030 using data from 2004-2007]

Not reliable since the data used for the model covered the years

2004 – 2007 and it would not be sensible to assume that the model

still holds in 2030

Not good as 2030 is a long way from 2004 – 2007

• Unreliable as based on old data

• Questionable as it has been extrapolated over a long time

• Not reliable due to how far out we have extrapolated

• By the time 2030 arrives it will be unreliable

Evaluate the model since when T = t the value is a “use this information to evaluate the reliability of the model”

show subbing in t into model so = b which is close to a so it is a suitable model

Evaluate the reliability of model

substitute value into model and round predicted value to at least 2sf. reliable as predicted roughly equals actual

When you have a model that is T = A -Be^-kt and you are given that the greatest value of T in reality is A + 8 = Q “use this information to evaluate the model”

Max T is A according to the model. model not appropriate as A is much lower than Q

Evaluate the model given the real value was 7 and the answer predicted by the model is 7.0816…

good model as 7.08 (m) (ROUNDED) is close to 7 (m)

Evaluate the reliability of model

substitute value into model and round predicted value to at least 2sf. reliable as predicted roughly equals actual

When you have a model that is T = A -Be^-kt and you are given that the greatest value of T in reality is A + 8 = Q “use this information to evaluate the model”

given that [minimum is 6] evaulate the model [minimum predicted by model is 5.89]

minimum v is 5.89 This suggests that the model is appropriate because 5.89 [roughly equals] 6

When you have a model that is T = A -Be^-kt and you are given that the greatest value of T in reality is A + 8 = Q “use this information to evaluate the model”

Max T is A according to the model. model not appropriate as A is much lower than Q

Interpret the value of the constant b [where the model is the world population since 2004 in billions =ab^t]

b = QUOTE represents the scale factor of the yearly increase in the world population OR the population will rise by (converted to percentage) % each year