Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
4. Choosing a Data Display
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Exercise 18 Page 262

Practice makes perfect

We are given that a scientist gathers data about a decaying chemical compound and creates the scatter plot. Let's take a look at it. Looking at the graph, it appears that points lie close to a line with a negative slope, which suggests a negative linear relationship between the data sets.

However, if we take a look at the differences between the consecutive ticks, we can see that they are not the same. This means that the given scatter plot is misleading and this conclusion is not accurate. Let's try to draw a scatter plot with the correct x-axis.

Now, the difference between each pair of consecutive ticks is the same and we can see that the relationship is not linear. Notice that this graph may not be fully accurate because we are not given the exact coordinates of points.

Now we are asked to estimate the amount of the compound remaining after 1 hour, 3 hours, 5 hours, and 7 hours. To do this, we can use the given graph because for all of the desired values we have plotted points.

Hours Amount of the Compound Remaining (Grams)
1 About 8 000
3 About 900
5 About 100
7 About 20

Notice that these amounts are only approximations because we do not know the exact coordinates of the plotted points.