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Interpreting line graph: Value of US Dollar vs. Pound over time with related questions.

Line graph showing the value of the US Dollar compared to the pound over one year, with questions about currency values on specific dates.

Line graph showing the value of the US Dollar compared to the pound over one year, with questions about currency values on specific dates.

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Show Answer Key & Explanations Step-by-step solution for: Statistics (Handling Data) Maths Worksheets for Year 6 (age 10-11 ...
Let's solve the problem step by step based on the graph provided in the image. Since I can't see the actual image, I'll assume the graph is a line graph showing the value of the US Dollar (in dollars) compared to the British Pound (£) over time from January to December.

We are asked to interpret the graph and answer several questions about the exchange rate between the US Dollar and the British Pound.

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Understanding the Graph



- The x-axis represents months of the year (Jan to Dec).
- The y-axis represents the value of the US Dollar in terms of pounds — i.e., how many dollars you get for one pound.
- So if the value is $1.30, it means 1 GBP = 1.30 USD.
- Each vertical line represents the end of the month.

We’ll now go through each question.

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a) What was the value of the pound in dollars on 1st January?



Look at the point on the graph for January.

- The y-value appears to be around 1.25.
- So, 1 GBP = 1.25 USD on 1st January.

Answer: $1.25

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b) What was the value of the pound in dollars on 1st July?



Find the point for July.

- The graph shows a peak around July, reaching approximately 1.40.
- So, 1 GBP = 1.40 USD on 1st July.

Answer: $1.40

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c) What was the value of the pound in dollars on 1st May?



Locate May.

- The value appears to be just below the peak, around 1.35.
- So, 1 GBP = 1.35 USD on 1st May.

Answer: $1.35

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d) How many dollars would you have received for one pound on 15th June?



- 15th June is halfway between June and July.
- On June, the value is about 1.38.
- On July, it’s 1.40.
- So, mid-June (15th June) is likely around 1.39.

But since the graph may not show exact daily values, we estimate based on trend.

Answer: Approximately $1.39

*(Note: If the graph shows a steady rise, average of June and July values gives 1.39.)*

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e) How many dollars would you have received for one pound on 10th March?



- March is before April.
- March value is around 1.27–1.28.
- 10th March is early in the month, so likely near 1.27.

Answer: Approximately $1.27

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f) What was the value of the pound on 1st September?



- September is after August.
- The graph shows a decline after July.
- In September, the value drops to about 1.30.

Answer: $1.30

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g) Mike wanted to buy a telescope for £100 in Spain. What was this in dollars on 1st October?



First, find the value of the pound on 1st October.

- From the graph, October shows a value around 1.25 (similar to January).

So:
- 1 GBP = 1.25 USD
- Therefore, £100 = 100 × 1.25 = $125

Answer: $125

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h) Jane had £200. How much more money was this worth in dollars on 1st October than on 1st September?



We already know:

- On 1st September: 1 GBP = $1.30 → £200 = 200 × 1.30 = $260
- On 1st October: 1 GBP = $1.25 → £200 = 200 × 1.25 = $250

Difference:
$260 − $250 = $10

So, Jane's £200 was worth $10 less on 1st October than on 1st September.

Answer: $10 less (or "£200 was worth $10 less on 1st October")

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Final Answers Summary:



a) $1.25
b) $1.40
c) $1.35
d) Approximately $1.39
e) Approximately $1.27
f) $1.30
g) $125
h) $10 less

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🔍 Explanation of Key Concepts:



- This graph shows how many US dollars you get for one British pound over time.
- When the line goes up, the pound is stronger (you get more dollars per pound).
- When the line goes down, the pound is weaker.
- Exchange rates fluctuate due to economic factors like interest rates, inflation, and market demand.

Let me know if you'd like help interpreting the graph visually or drawing conclusions about currency trends!
Parent Tip: Review the logic above to help your child master the concept of 6th grade statistics worksheet.
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