You're viewing 1 free preview question for Maths AA HL — subscribe to unlock 53 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Modeling with Functions · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SReal-world applications of functions (e.g. growth models)s6 marksPaper 2~9 min

A biologist studies two bacterial colonies growing in a laboratory. Both colonies start with a mass of

2.4

grams at

t = 0

, where

t

is the time in hours. Colony A is modelled by

M(t) = 2.4 + 0.18t

. Colony B is modelled by

N(t) = 2.4 \times 1.12^{t}

(a)

Write down the rate of growth, in grams per hour, of Colony A. [1 mark]

(b)

Determine the value of

t

at which Colony A reaches a mass of

6

grams. [2 marks]

(c)

Calculate the value of

t

at which Colony B reaches a mass of

6

grams. Give your answer correct to 3 significant figures. [2 marks]

(d)

Using your answers to parts (b) and (c), explain which model predicts a greater mass at

t = 15

hours, and justify your answer. [1 mark]

Solutions

Questions 2-54

Unlock these questions with Premium

That's every free question here — 1 of 54.

+53 more questions, plus Mock Papers & Worksheets, are waiting in Premium.