SQA Higher Applications of Mathematics Mathematical Modelling overview quiz quiz

A quantity increases by the same amount each equal time step. Which model fits?

A quantity is multiplied by $1.05$ each year. Which model fits?

In the exponential model $y = a \times b^{t}$, what does $a$ represent?

A car loses $7\%$ of its value each year. What is the multiplier $b$?

A tariff is $\pounds 0.20$ per unit for the first $100$ units, then $\pounds 0.35$ per extra unit. This is best modelled by

Convert a speed of $36$ km/h to metres per second.

A measurement is $48$ m and the true value is $50$ m. What is the absolute error?

Percentage error is calculated by dividing the absolute error by which value?

A part is specified as $40 \pm 0.3$ mm. Which measurement is within tolerance?

In a spreadsheet, which reference stays fixed when a formula is filled down?

Which spreadsheet function returns the sample standard deviation of a range?

What does goal seek do in a spreadsheet?

A profit cell holds =15*B1-600 where B1 is the number sold. Goal seek to set profit to $0$ returns which break-even value?

Why should a final answer not be quoted more precisely than the data?