Question

Sophie is going to drive from her house to City A without stopping. Let D represent Sophie's distance from City A t hours after leaving her house. The table below has select values showing the linear relationship between t and D. Determine the average speed that Sophie travels, in miles per hour.

Answer 1

Answer:

55 miles per hour.

Explanation:

To determine the average speed traveled by Sophie, we find the slope of the function given from the linear table.

$\begin{gathered} \text{Slope}=\frac{82.5-165}{2.5-1} \\ =-\frac{82.5}{1.5} \\ =-55 \end{gathered}$

What this means is that Sophie's distance from City A is reducing at a rate of 55 miles per hour.

Thus, the average speed that Sophie travels, is 55 miles per hour.