Course home

1.6.8 Reduction to linear form

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 35

The surface area $S$ , in $mm2\text{mm}^2$ , of a metallic crystal growing in a laboratory environment is monitored over time. The surface area is modelled by the equation

log_{10} S = 0.85 + 0.072t

where $t\,$ is the time in hours after the crystal began to form.

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

Find the initial surface area of the crystal, giving your answer to 2 decimal places.

[2]

After $T\,$ hours, the surface area reaches 120 mm². 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

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 35

The surface area $S$ , in $mm2\text{mm}^2$ , of a metallic crystal growing in a laboratory environment is monitored over time. The surface area is modelled by the equation

log_{10} S = 0.85 + 0.072t

where $t\,$ is the time in hours after the crystal began to form.

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

Find the initial surface area of the crystal, giving your answer to 2 decimal places.

[2]

After $T\,$ hours, the surface area reaches 120 mm². 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.