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Problem-Solving and Data Analysis / Two-variable data: Models and scatterplots Difficulty: Easy

The scatterplot shows the temperature $y$ , in $° F$ , recorded by a meteorologist at various times $x$ , in days since June $1$ .

During which of the following time periods did the greatest increase in recorded temperature take place?

From $x equals 6$ to $x equals 7$

From $x equals 5$ to $x equals 6$

From $x equals 2$ to $x equals 3$

From $x equals 1$ to $x equals 2$

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Explanation

Choice C is correct. The scatterplot shows that there was an increase in recorded temperature from $x equals 2$ to $x equals 3$ and from $x equals 6$ to $x equals 7$ . When $x equals 2$ , the recorded temperature was approximately $60 degree upper F$ and when $x equals 3$ , the recorded temperature was greater than $70 degree upper F$ . This means that the increase in recorded temperature from $x equals 2$ to $x equals 3$ was greater than $left parenthesis 70 minus 60 right parenthesis degree upper F$ , or $10 degree upper F$ . When $x equals 6$ , the recorded temperature was greater than $60 degree upper F$ and when $x equals 7$ , the recorded temperature was less than $70 degree upper F$ . This means that the increase in recorded temperature from $x equals 6$ to $x equals 7$ was less than $left parenthesis 70 minus 60 right parenthesis degree upper F$ , or $10 degree upper F$ . It follows that the greatest increase in recorded temperature took place from $x equals 2$ to $x equals 3$ .

Choice A is incorrect. The increase in recorded temperature from $x equals 6$ to $x equals 7$ was less than the increase in recorded temperature from $x equals 2$ to $x equals 3$ .

Choice B is incorrect. From $x equals 5$ to $x equals 6$ , a decrease, not an increase, in recorded temperature took place.

Choice D is incorrect. From $x equals 1$ to $x equals 2$ , a decrease, not an increase, in recorded temperature took place.