Unit 4

4 marks · Easy

The function predicts the height of a flower (in cm) after weeks.

(a)

Find the height of the flower after 5 weeks.

[2 marks]

(b)

On a graph, what is the gradient of the line representing this function?

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) 23 cm

(b) 4

Common mistakes: Wrong substitution (swap t and s); Not understanding that gradient is the coefficient of t

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Correct substitution of t = 5 into s = 4t + 3

A1 (a) · 1 mark · Finds s = 23 cm

M2 (b) · 1 mark · Identifies gradient as coefficient of t

A2 (b) · 1 mark · Gradient is 4

Worked solution

a) s = 4 × 5 + 3 = 20 + 3 = 23 cm.

b) The coefficient of t is 4, so gradient = 4.