If a walkway rises 2.5 ft for every 10 ft on the horizontal, w...

Question

If a walkway rises 2.5 ft for every 10 ft on the horizontal, which of the following express its slope (or grade)?

A. 0.25, B. 4, C. 2.5/10, D. 25%, E. 1/4, F. 10/2.5, G. 400%, H. 2.5%

Accepted Answer

Hey, everyone here, we are asked to find out the grade or slope of the flyover. When a flyover on a national highway rises four m every one kilometer. Here we have four answer choice options for our slope. Answer choice A with a value of 0.4. Answer choice B with 0.4%. Answer choice C with 0.4 and answer choice D with 0.4%. So to begin solving this problem, we first just want to identify our given information. So we are first told that the highway rises four m. So our rise in our situ nation is four m and this is rising four m for every one kilometer. So this every one kilometer tells us that our run in this case is one kilometer. Well, we want common units between both of our values here. So we just need to multiply one kilometer by To get our value or distance in m. So in m, we have 1000 m for our run. And now we just need to recall that the slope is equivalent to rise over run or rise divided by run. And so we can just plug in our values that we identified for rise and run. So we have Four m, our rise divided by our run, which is 1000 m. Now simplifying in decimal form, our value ends up with 0.004. And now if we want to rewrite this value as a percentage, we can multiply it by 100%. And this gives us the equivalent percentage of 0.4%. So now we have found our slope of the flyover as .0.004 or 0.4%. So this leaves us with answer choice C where the slope is 0.004. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

If a walkway rises 2.5 ft for every 10 ft on the horizontal, which of the following express its slope (or grade)? <Image>
A. 0.25, B. 4, C. 2.5/10, D. 25%, E. 1/4, F. 10/2.5, G. 400%, H. 2.5%

Key Concepts

Slope as a Ratio

Slope as a Percentage Grade

Unit Consistency and Interpretation

Watch next