Question

the graph shows the average low temperature for charlotte (solid) and asheville (dashed) as a function of the number of months since january 1st. interpret the context of the two y - intercepts. ashevilles lowest average temperature in is about degrees, which is charlottes degrees.

Explanation:

Step1: Understand the y - intercept concept

The y - intercept of a function \(y = f(x)\) occurs when \(x = 0\). In the context of the function \(y = C(m)\) (Charlotte's temperature function) and \(y=A(m)\) (Asheville's temperature function), \(m = 0\) represents January 1st.

Step2: Analyze the graph for y - intercepts

Looking at the graph, when \(m = 0\) (January 1st):

• For Asheville (\(y = A(m)\)), the y - intercept (the value of \(y\) when \(m = 0\)) is about \(25^{\circ}F\).
• For Charlotte (\(y = C(m)\)), the y - intercept (the value of \(y\) when \(m = 0\)) is about \(32^{\circ}F\).

Answer:

Asheville's lowest average temperature in January is about \(25\) degrees, which is less than Charlotte's \(32\) degrees.