Question

the scatter - plot 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? a) from x = 6 to x = 7 b) from x = 5 to x = 6 c) from x = 2 to x = 3 d) from x = 1 to x = 2

Explanation:

Step1: Find temperature at each interval start - end

From the scatter - plot:
At \(x = 1\), \(y_1=70\); at \(x = 2\), \(y_2 = 60\), temperature change \(\Delta y_{1 - 2}=y_2 - y_1=60 - 70=- 10\).
At \(x = 2\), \(y_2 = 60\); at \(x = 3\), \(y_3 = 75\), temperature change \(\Delta y_{2 - 3}=y_3 - y_2=75 - 60 = 15\).
At \(x = 5\), \(y_5 = 65\); at \(x = 6\), \(y_6 = 65\), temperature change \(\Delta y_{5 - 6}=y_6 - y_5=65 - 65 = 0\).
At \(x = 6\), \(y_6 = 65\); at \(x = 7\), \(y_7 = 65\), temperature change \(\Delta y_{6 - 7}=y_7 - y_6=65 - 65 = 0\).

Answer:

C. From \(x = 2\) to \(x = 3\)