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Analysts at the Milk Company calculated the average price of a gallon of its milk over 10 years. The following table shows the years since 2010 and the average price of a gallon of milk at that time.

Years (since 2010) 0 1 2 3 4 5 6 7 8 9
Price (in dollars) 3.32 3.52 3.41 3.40 3.21 3.52 3.02 2.82 3.05 3.31

Which of the following representations is most appropriate for showing how the price changed each year?
line graph titled gallon of milk, with the y axis labeled years since 2010 and the x axis labeled price in dollars with points at 3.32 comma 0, 3.52 comma 1, 3.41 comma 2, 3.40 comma 3, 3.21 comma 4, 3.52 comma 5, 3.02 comma 6, 2.82 comma 7, 3.05 comma 8, and 3.31 comma 9
scatter plot titled gallon of milk, with the y axis labeled years since 2010 and the x axis labeled price in dollars with points at 3.32 comma 0, 3.52 comma 1, 3.41 comma 2, 3.40 comma 3, 3.21 comma 4, 3.52 comma 5, 3.02 comma 6, 2.82 comma 7, 3.05 comma 8, and 3.31 comma 9
scatter plot titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0 comma 3.32, 1 comma 3.52, 2 comma 3.41, 3 comma 3.40, 4 comma 3.21, 5 comma 3.52, 6 comma 3.02, 7 comma 2.82, 8 comma 3.05, and 9 comma 3.31
line graph titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0 comma 3.32, 1 comma 3.52, 2 comma 3.41, 3 comma 3.40, 4 comma 3.21, 5 comma 3.52, 6 comma 3.02, 7 comma 2.82, 8 comma 3.05, and 9 comma 3.31

1 answer

To effectively show how the price of a gallon of milk changed each year, a line graph would be the most appropriate representation. A line graph visually connects the points over time, making it easy to see trends and changes in prices.

In this case, the graph should have:

  • A title: "Gallon of Milk"
  • The x-axis labeled as "Years since 2010"
  • The y-axis labeled as "Price in dollars"

The points should represent the price of milk for each year, connected by lines to illustrate the changes over time clearly.

So, the most appropriate choice from the options given would be:

Line graph titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0, 3.32; 1, 3.52; 2, 3.41; 3, 3.40; 4, 3.21; 5, 3.52; 6, 3.02; 7, 2.82; 8, 3.05; and 9, 3.31.

This setup allows viewers to easily track the price changes year by year.