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1.6.8 Reduction to linear form

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Question 32

The population of a bacterial colony, $P$ , is being monitored in a laboratory. The number of bacteria is modelled by the equation

log_{10} P = 2 + 0.04t

where $t\,$ is the time in hours after monitoring began.

Use the equation of the model to answer parts (a) and (b).

Find the initial population of the bacterial colony.

[2]

After $T\,$ hours, the population reaches 500. Find the value of $T$ , giving your answer to 2 decimal places.

[3]

Markscheme

1.6.8 Reduction to linear form Questions

A Level
Maths
1.6.8 Reduction to linear form

42 exam-style questions on OCR A Level Maths 1.6.8 Reduction to linear form. Each one has a worked solution and a mark scheme showing where the marks go.

1.6.8 Reduction to linear form

Question bank

1.6.8 Reduction to linear form

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Question 32

The population of a bacterial colony, $P$ , is being monitored in a laboratory. The number of bacteria is modelled by the equation

log_{10} P = 2 + 0.04t

where $t\,$ is the time in hours after monitoring began.

Use the equation of the model to answer parts (a) and (b).

Find the initial population of the bacterial colony.

[2]

After $T\,$ hours, the population reaches 500. Find the value of $T$ , giving your answer to 2 decimal places.

[3]

Markscheme

1.6.8 Reduction to linear form Questions

A Level
Maths
1.6.8 Reduction to linear form

42 exam-style questions on OCR A Level Maths 1.6.8 Reduction to linear form. Each one has a worked solution and a mark scheme showing where the marks go.