Question

imagine you are planning a road trip across the united states. you are interested in visiting the grand canyon and yellowstone national park. you have two initial route options to consider: - route a travels from los angeles, california to the grand canyon. - route b travels from san francisco, california to yellowstone. the coordinates of the cities are approximately as follows: - los angeles (34.05, -118.25) - grand canyon (36.10, -112.11) - san francisco (37.77, -122.42) - yellowstone (44.43, -110.58) 9. calculate the slope of route a as it travels from los angeles to the grand canyon. round to the nearest whole number. type a response show your work

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two - points. For Route A, starting from Los Angeles $(x_1 = 34.05,y_1=-118.25)$ and going to the Grand Canyon $(x_2 = 36.10,y_2=-112.11)$.

Step2: Substitute values into formula

$m=\frac{-112.11-(-118.25)}{36.10 - 34.05}=\frac{-112.11 + 118.25}{36.10 - 34.05}=\frac{6.14}{2.05}$.

Step3: Calculate the value

$\frac{6.14}{2.05}\approx3$.

Answer:

3