Question

complete the statement that describes the situation. regans family starts miles away from coral cove. the distance the family is from coral cove decreases by miles every hour.

Explanation:

Step1: Find the initial distance

The y - intercept of the line (when time \(x = 0\)) gives the starting distance. From the graph, when \(x=0\), \(y = 200\). So Regan's family starts 200 miles away from Coral Cove.

Step2: Find the rate of change

The rate of change (slope) of a linear function \(y=mx + b\) is given by \(m=\frac{\Delta y}{\Delta x}\). We can use two points on the line, say \((0,200)\) and \((2,80)\). Then \(m=\frac{80 - 200}{2-0}=\frac{- 120}{2}=-60\). The negative sign indicates that the distance is decreasing. So the distance the family is from Coral Cove decreases by 60 miles every hour.

Answer:

Regan's family starts 200 miles away from Coral Cove. The distance the family is from Coral Cove decreases by 60 miles every hour.