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1 of 8 0-day streak

Interpret and use an exponential model

QUESTION TYPEMix of allChange
interpret with growth, discrete time and initial interpretationinterpret with growth, discrete time and multiplier interpretationinterpret with growth, discrete time and rate interpretationinterpret with growth, discrete time and time-unit interpretationinterpret with growth, continuous time and initial interpretationinterpret with growth, continuous time and multiplier interpretationinterpret with growth, continuous time and rate interpretationinterpret with growth, continuous time and time-unit interpretationinterpret with decay, discrete time and initial interpretationinterpret with decay, discrete time and multiplier interpretationinterpret with decay, discrete time and rate interpretationinterpret with decay, discrete time and asymptote interpretationinterpret with decay, discrete time and time-unit interpretationinterpret with decay, continuous time and initial interpretationinterpret with decay, continuous time and multiplier interpretationinterpret with decay, continuous time and rate interpretationinterpret with decay, continuous time and asymptote interpretationinterpret with decay, continuous time and time-unit interpretationforward with growth, discrete time and initial interpretationforward with growth, discrete time and multiplier interpretationforward with growth, discrete time and rate interpretationforward with growth, discrete time and time-unit interpretationforward with growth, continuous time and initial interpretationforward with growth, continuous time and multiplier interpretationforward with growth, continuous time and rate interpretationforward with growth, continuous time and time-unit interpretationforward with decay, discrete time and initial interpretationforward with decay, discrete time and multiplier interpretationforward with decay, discrete time and rate interpretationforward with decay, discrete time and asymptote interpretationforward with decay, discrete time and time-unit interpretationforward with decay, continuous time and initial interpretationforward with decay, continuous time and multiplier interpretationforward with decay, continuous time and rate interpretationforward with decay, continuous time and asymptote interpretationforward with decay, continuous time and time-unit interpretationNOWMix of allRecommended
Question 1 of 8

Calculator allowed

A model for the temperature difference of a cooling liquid from its surroundings uses degrees Celsius as the value unit

Let t be time in minutes. The model is used at non-negative whole multiples of 1 minute

\[Q(t)=80\,\left(\frac{4}{5}\right)^{t}\]

The model and its time unit are given below

(a)1 mark

Which statement correctly interprets the percentage rate in the model?

(b)4 marks

Complete the exact parameter table. Use the units shown in the labels

(c)1 mark

Calculate the value given by the model at the stated time

Use t=\(2\) minutes. Give the value in degrees Celsius