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Hey there! Today we are going to explore how countries trade with each other and how we can use math to understand global markets.
When countries trade goods, they connect with each other. This is called globalization. Sometimes, a country puts a tax on imports, which is called a tariff, to make local goods cheaper.
We can graph how trade grows over time. In a proportional relationship, as one value goes up, the other goes up at a constant rate. The unit rate is the slope of our line, showing how much one item costs per unit.
When data from global markets is messy, we use a trend line. This line approximates the relationship between two sets of data, helping us predict future trade patterns.
A country imports tea. Every 2 kilograms of tea costs $10 under the new tariff. Graph this proportional relationship and find the unit rate (slope) of the tariff cost.
- Identify the two variables: Quantity of tea in kilograms (x) and Total cost in dollars (y).
- Find the unit rate by dividing the cost by the quantity: $10 divided by 2 kilograms equals $5 per kilogram.
- Since this is a proportional relationship, the line starts at the origin (0, 0).
- Plot the next point using our unit rate: for 1 kilogram, the cost is $5, giving us the point (1, 5).
- Draw a straight line from (0, 0) through (1, 5) and (2, 10). The slope of this line is 5, which represents the tariff rate per kilogram.
