Real-life graphs

10This graph can be used to change between miles and kilometres.

Use the graph to change 25 miles to kilometres.

Amy gets travel expenses when she drives as part of her job. She gets $0.80 for every kilometre she drives.

For one journey Amy got $19.20

Work out the number of miles she drove.

The graph below can be used to change between Australian dollars and euros.

Use the graph to change

35 Australian dollars to euros

20 euros to Australian dollars

Lachlan changes 500 Australian dollars to euros.

Work out how many euros he should receive.

The graph below can be used to change between dollars and Danish krone.

Change 40 dollars to Danish krone.

Change 350 Danish krone to dollars.

Robert needs 950 Danish krone to pay for a hotel stay. He has 170 dollars.

Show that Robert has enough money to pay for his hotel stay.

On the grid, draw the graph of 5 x + 2 y = 10 for values of x from –2 to 4

Here are six graphs.

Complete the table below with the letter of the graph that could represent each given equation. Write your answers on the dotted lines.

On the grid, draw the graph of y = −2 x + 3 for values of x from −1 to 5

Below is a conversion graph to change between metres and feet.

Use the graph to change

10 metres to feet,

50 feet to metres.

Joss lives 820 metres above sea level. Nicky lives 2850 feet above sea level.

Which is the greater, 820 metres or 2850 feet? You must show how you get your answer.

Jalina left her home at 10 00 to cycle to a park. On her way to the park, she stopped at a friend’s house and then continued her journey to the park. Here is the distance-time graph for her journey to the park.

On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend’s house? Give a reason for your answer.

Jalina stayed at the park for 45 minutes. She then cycled, without stopping, at a constant speed of 16 km/h from the park back to her home.

Show all this information on the distance-time graph.

Work out Jalina’s average cycling speed, in kilometres per hour, for the complete journey to the park and back. Do not include the times when she was not cycling in your calculation. Give your answer correct to 1 decimal place.

Jalina left her home at 10 00 to cycle to a park. On her way to the park, she stopped at a friend’s house and then continued her journey to the park. Here is the distance-time graph for her journey to the park.

On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend’s house? Give a reason for your answer.

Jalina stayed at the park for 45 minutes. She then cycled, without stopping, at a constant speed of 16 km/h from the park back to her home.

Show all this information on the distance-time graph.

Work out Jalina’s average cycling speed, in kilometres per hour, for the complete journey to the park and back. Do not include the times when she was not cycling in your calculation. Give your answer correct to 1 decimal place.

You can use this graph to change between temperatures in degrees Celsius (°C) and temperatures in degrees Fahrenheit (°F).

The temperature in Dubai on Monday increased by 20 °C from midnight to midday.

What is this temperature increase in degrees Fahrenheit?

Maninder says,

“30 °C is the same as 86 °F, therefore 60 °C will be the same as 172 °F.”

Is Maninder correct? Give a reason for your answer.

Here is a conversion graph to change between euros and Australian dollars.

Use the graph to change

50 euros to Australian dollars,

90 Australian dollars to euros.

Sheila is on holiday in Italy and is going to the United Arab Emirates. She knows that

Change 500 euros to dirhams.