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3.08 Further applications of growth and decay

Interactive practice questions

A paver needs to pave a floor with an area of $800$800 square metres. He can pave $50$50 square metres a day.

a

Complete the table showing the area left to pave at the start of each day:

Day Area of floor left to pave ($m^2$m2)
$1$1 $800$800
$2$2 $\editable{}$
$3$3 $\editable{}$
$4$4 $\editable{}$
$5$5 $\editable{}$
b

What type of change is this?

Linear growth

A

Exponential growth

B

Linear decay

C

Exponential decay

D
Easy
1min

For a fibre-optic cable service, Christa pays a one off amount of $\$200$$200 for installation costs and then a monthly fee of $\$30$$30.

Easy
3min

Luigi starts his career with a monthly wage of $\$5400$$5400. At the beginning of each year that follows he receives a raise and his monthly wage for that year will be $\$120$$120 greater than the previous year.

Easy
1min

A telecommunications company sells $1700$1700 mobile phones in the first month of its operation. The company plans to increase its sales by $150$150 mobile phones each month.

Easy
1min
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Outcomes

3.2.4

use arithmetic sequences to model and analyse practical situations involving linear growth or decay

3.2.8

use geometric sequences to model and analyse (numerically, or graphically only) practical problems involving geometric growth and decay

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