Question

Goldenwood Street drops 12 feet over a horizontal distance of 900 feet. What is the slope of the street? Round your answer to two decimal places.

Answer 1

Slope =rise/run

Answer 2

so is my answer 12/900?

Answer 3

In this case there is a "drop". So, you can treat is as a negative rise.

Answer 4

so then it would be -12/900

Answer 5

yep

Answer 6

Yes. Simplified and rounded to two decimals. :)

Answer 7

-12/900. You can divide 900 by 12 and you should get -1/something. You can also use a calculator for such things.

Answer 8

I got 75

Answer 9

Then, the slope is -1/75. Or, -0.013.

Answer 10

ok how did you get the -0.013

Answer 11

You need to understand converting fractions to decimals. Each decimal place is equivalent to multiplying the numerator by 10. So, when you have 1/75, you need to place two decimal places ".0" to get 100/75. Because it divides once, you get 0.01 with a remainder of 25. The next decimal place is like multiplying 25 by 10. So, you have 250/75. Now, you get 0.013 because 75 divides 250 3 times. Remainder can be ignored because you have enough decimal places.

Answer 12

I got it! Thanks for your help!