Question

a portion of road a climbs steadily for feet over a horizontal distance of feet. a portion of road b climbs steadily for feet over a horizontal distance of feet. which road is steeper?

Answer 1

To determine which road is steeper, we divide the change in elevation by the horizontal distance traveled for both roads. Road A is steeper than road B.

Step-by-step explanation:

To determine which road is steeper, we need to compare the slopes of road A and road B. The slope of a road is found by dividing the change in elevation by the horizontal distance traveled. Let's calculate the slopes of both roads:

For road A, the elevation change is feet and the horizontal distance is feet. So, the slope of road A is feet divided by feet, which is .

For road B, the elevation change is feet and the horizontal distance is feet. So, the slope of road B is feet divided by feet, which is .

Comparing the slopes, we can see that the slope of road A is greater than the slope of road B. Therefore, road A is steeper than road B.

Answer 2

To determine which road is steeper, we need to compare the ratios of the vertical distance climbed to the horizontal distance traveled for each road. The road with the higher ratio will be steeper.

Step-by-step explanation:

In order to determine which road is steeper, we need to compare the ratios of the vertical distance climbed to the horizontal distance traveled for each road. Let's calculate the ratios for each road:

For Road A: The vertical distance climbed is X feet and the horizontal distance traveled is Y feet. To find the ratio, we divide X by Y.

For Road B: The vertical distance climbed is P feet and the horizontal distance traveled is Q feet. To find the ratio, we divide P by Q.

Comparing the two ratios, if the ratio for Road A is higher than the ratio for Road B, then Road A is steeper. If the ratio for Road B is higher, then Road B is steeper.