A fortion of road A climbs steadily for 143 feet over a horizontal distance of 2200 feet. A portion of road B climbs steadily for 120 feet over a horizontal distance of 3000 feet. Which road is steeper?

Which road is steeper?
$\operatorname{road} A$
$\operatorname{road} B$
Time Remaining: 01:58:57

Step 1 ：A portion of road A climbs steadily for 143 feet over a horizontal distance of 2200 feet. A portion of road B climbs steadily for 120 feet over a horizontal distance of 3000 feet. We are asked to determine which road is steeper.

Step 2 ：We can calculate the steepness of a road by finding the slope, which is the ratio of the vertical change (the climb) to the horizontal change (the distance).

Step 3 ：First, calculate the slope of road A: \(slope_A = \frac{143}{2200} = 0.065\).

Step 4 ：Next, calculate the slope of road B: \(slope_B = \frac{120}{3000} = 0.04\).

Step 5 ：Comparing the slopes, we see that the slope of road A is greater than the slope of road B.

Step 6 ：Therefore, road A is steeper than road B.

Step 7 ：Final Answer: The steeper road is \(\boxed{\text{road A}}\).