Question

for two weeks, the highest temperature each day was recorded in four different cities. lines l, m, n and p are graphs of the temperature over time in lubbock (l), memphis (m), new orleans (n), and phoenix (p)
the high temperature in lubbock increased as time passed
the high temperature in memphis increased steadily
initially, the high temperature was warmer in phoenix than in memphis
the high temperature in new orleans rose faster than the temperature in phoenix

Explanation:

Step1: Analyze Line l (Lubbock)

Line \( l \) is horizontal, so temperature doesn't increase with time. Eliminate first option.

Step2: Analyze Line m (Memphis)

Line \( m \) has a negative slope, so temperature decreases, not increases steadily. Eliminate second option.

Step3: Analyze Initial Temperatures (Phoenix - p, Memphis - m)

At \( x = 0 \) (initial time), line \( m \) (Memphis) is higher than line \( p \) (Phoenix), so Phoenix is not warmer initially. Eliminate third option.

Step4: Analyze Slopes (New Orleans - n, Phoenix - p)

Line \( n \) (New Orleans) has a steeper slope than line \( p \) (Phoenix), meaning it rises faster.

Answer:

The high temperature in New Orleans rose faster than the temperature in Phoenix.