Search topics

Search
1 of 8 0-day streak

Exponential growth and decay rate models

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
initial for population-count, growth, time none, precision 0initial for population-count, decay, time none, precision 0initial for decaying-mass, decay, time none, precision 0initial for cooling-excess, decay, time none, precision 0initial for light-intensity, decay, time none, precision 0initial for pressure, growth, time none, precision 0initial for pressure, decay, time none, precision 0rate-rule for population-count, growth, time none, precision 0rate-rule for population-count, decay, time none, precision 0rate-rule for decaying-mass, decay, time none, precision 0rate-rule for cooling-excess, decay, time none, precision 0rate-rule for light-intensity, decay, time none, precision 0rate-rule for pressure, growth, time none, precision 0rate-rule for pressure, decay, time none, precision 0NOWMix of allRecommended
Question 1 of 8

Calculator allowed

The light intensity recorded by a sensor is modelled over time

\[A(t)=216e^{-\frac{1}{40}t}\]

A(t) is measured in lux, and t is measured in minutes

(a)1 mark

Determine the amount when t=0

(b)1 mark

Choose the derivative rule for the modelled amount