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iGCSE (2021 Edition)

21.07 Growth and decay (Extended)

Interactive practice questions

Consider the graph shown.

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a

Which of the following relationships could be represented by the given graph?

The number of handshakes, $y$y, made by $x$x people in a room if every person shakes hands with every other person.

A

The number of layers, $y$y, resulting from a rectangular piece of paper being folded in half $x$x times.

B

The number of people, $y$y, attending a parent/teacher conference when there are $x$x parents who each bring $2$2 children.

C
b

What does the $y$y-intercept of the curve represent?

The number of folds that it would take to reach $8$8 layers of paper.

A

That there are $2$2 layers of paper after $1$1 fold has been made.

B

That the paper is rectangular before any folds are made.

C

That there is $1$1 layer of paper when no folds have been made.

D
c

The equation of the graph is $y=2^x$y=2x.

If a rectangular piece of paper is folded $10$10 times, determine the resulting number of layers.

Easy
1min

When a coin is flipped, there are two possible outcomes: heads (H) or tails (T).

Easy
1min

A sample contains $1$1 gram of Ruthenium-106, which has a half-life of one year.

Easy
2min

An initial chemical reaction results in a chain of chemical reactions that follow.

The total number of reactions after $t$t seconds is given by the equation $y=4^t$y=4t.

Medium
3min
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Outcomes

0580E2.11B

Draw and interpret graphs representing exponential growth and decay problems.

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