Interpreting line graphs - Statistics (Handling Data) Maths ... - Free Printable

To solve the problems, we need to interpret the line graph provided. The graph shows the value of the US Dollar (in dollars) compared to the British Pound (£) over one year, with each vertical line representing the 1st of the month.

Key Observations:

- The x-axis represents the months of the year.
- The y-axis represents the value of the US Dollar in terms of the British Pound (£).
- Each point on the graph corresponds to the value of £1 on the 1st of each month.

Solutions:

#### a) What was the value of the pound in dollars on 1st January?
- Locate the point on the graph corresponding to January.
- The value is approximately 1.31 dollars.

#### b) What was the value of the pound in dollars on 1st July?
- Locate the point on the graph corresponding to July.
- The value is approximately 1.29 dollars.

#### c) What was the value of the pound in dollars on 1st May?
- Locate the point on the graph corresponding to May.
- The value is approximately 1.33 dollars.

#### d) How many dollars would you have received for one pound on 15th June?
- Since the graph only provides data for the 1st of each month, we approximate the value for the 15th of June by looking at the trend between May and July.
- On 1st June, the value is approximately 1.32 dollars.
- On 15th June, assuming a linear trend, the value is close to 1.32 dollars.

#### e) How many dollars would you have received for one pound on 15th March?
- Similarly, we approximate the value for the 15th of March by looking at the trend between February and April.
- On 1st March, the value is approximately 1.31 dollars.
- On 15th March, assuming a linear trend, the value is close to 1.31 dollars.

#### f) What was the value of the pound on 1st September?
- Locate the point on the graph corresponding to September.
- The value is approximately 1.30 dollars.

#### g) What was the value of the pound on 1st April?
- Locate the point on the graph corresponding to April.
- The value is approximately 1.32 dollars.

#### h) Mike wanted to buy a telescope from America. He had £100 to spend. What was this in dollars on 1st October?
- Locate the point on the graph corresponding to October.
- The value is approximately 1.32 dollars.
- Therefore, £100 is worth \( 100 \times 1.32 = 132 \) dollars.

#### i) Jane had £200. How much more was this worth in dollars on 1st October than it was on 1st September?
- On 1st October, the value is approximately 1.32 dollars.
- On 1st September, the value is approximately 1.30 dollars.
- The difference in value per pound is \( 1.32 - 1.30 = 0.02 \) dollars.
- For £200, the difference is \( 200 \times 0.02 = 4 \) dollars.

Final Answers:

a) 1.31 dollars
b) 1.29 dollars
c) 1.33 dollars
d) 1.32 dollars
e) 1.31 dollars
f) 1.30 dollars
g) 1.32 dollars
h) 132 dollars
i) 4 dollars

\boxed{1.31, 1.29, 1.33, 1.32, 1.31, 1.30, 1.32, 132, 4}