Course home

2.5.4 Data presentation and interpretation

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

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

2.5.4 Data presentation and interpretation Questions

A Level
Maths
2.5.4 Data presentation and interpretation

42 exam-style questions on CCEA A Level Maths 2.5.4 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

2.5.4 Data presentation and interpretation

Question bank

2.5.4 Data presentation and interpretation

Easy Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

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

2.5.4 Data presentation and interpretation Questions

A Level
Maths
2.5.4 Data presentation and interpretation

42 exam-style questions on CCEA A Level Maths 2.5.4 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.