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

55 miles per hour.

Step-by-step 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}=(82.5-165)/(2.5-1) \\ =-(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.