I have a question that asks me to look at two pictures that are of signs to warn you of the slope or steepness of the hills, one of those hills increases a short distance and then decreases a greater distance and has 17% written above the line that decreases, and the other one increases a great distance with 30% written above it then it decreases at a much shorter distance. The question I must answer is Sketch hills with each of these slopes. I have two coordinate grids that are blank in wich to draw the hills with there slope. What should they look like and say??

To answer the question and sketch the hills with the given slopes, you need to understand the concept of slope and how to interpret the percentage values in this context.

The slope is a measure of how steep a hill or incline is. It represents the change in vertical distance (rise) for a given horizontal distance (run). In this case, you are given two slopes: 17% and 30%.

To sketch the hills, you can use the coordinate grids provided. Here's how you can approach each slope:

1. For the hill with a 17% slope:
- Start by placing a point at the origin (0,0) on the coordinate grid.
- From the origin, move horizontally to the right by a distance of 6 units (this can be any arbitrary value).
- Then, move vertically upwards by a distance of 1.02 units (since 17% of 6 is 1.02).
- After reaching this point, move horizontally to the right by a larger distance, let's say 10 units.
- From this point, move vertically downwards by a distance of 1.7 units (as 17% of 10 is 1.7).
- Connect the points smoothly to form a hill-like shape. You may also label the slope as "17%".

2. For the hill with a 30% slope:
- Start again at the origin (0,0) on the second coordinate grid.
- Move horizontally to the right by a smaller distance, such as 3 units.
- Then, move vertically upwards by a distance of 0.9 units (since 30% of 3 is 0.9).
- Next, move horizontally to the right by a larger distance, such as 12 units.
- From this point, move vertically downwards by a distance of 3.6 units (as 30% of 12 is 3.6).
- Connect the points smoothly to form the shape of another hill and label the slope as "30%".

Remember, these sketches are just estimations based on the percentages given. The actual shapes of hills may vary depending on the specific context and measurements. It is important to note that the chosen units and distances for the rise and run could be different, as long as the ratio remains the same as the given slope percentage.

It may be helpful to use a ruler or straight edge to maintain accuracy while drawing the hills.