Question

the graph shows the average low (dashed) and high (solid) temperatures for north carolina throughout the year. express l(d) as a function of f(d) and interpret your equation for l(d) in context.
show your work here
l(d)=h(d) - 20
o daily low temperatures in north carolina are on average 20 degrees higher than the daily high temperatures.
l(d)=h(d)+20
o daily low temperatures in north carolina are on average 20 degrees cooler than the daily high temperatures.
l(d)=h(d) - 20
o daily low temperatures in north carolina are on average 20 degrees cooler than the daily high temperatures.
l(d)=h(d)+20
o daily low temperatures in north carolina are on average 20 degrees higher than the daily high temperatures.

Explanation:

Step1: Analyze the relationship

By observing the graph, we can see that the average low - temperature function \(L(d)\) is always below the average high - temperature function \(H(d)\). The vertical distance between the two curves is approximately 20 degrees.

Step2: Determine the function

Since \(L(d)\) is lower than \(H(d)\) by about 20 degrees, the correct function is \(L(d)=H(d) - 20\). This means that the daily low temperatures in North Carolina are on average 20 degrees cooler than the daily high temperatures.

Answer:

\(L(d)=H(d) - 20\); Daily low temperatures in North Carolina are on average 20 degrees cooler than the daily high temperatures.