Can you please explain how to set up the equation?
A city council is proposing a new skyline ordinance. It would require the setback S for any building from the residence to be a minimum of 100 feet, plus an additional 6 feet for each foot of height above 25 feet. Find a linear function for S in terms of H.
It would simply be
S = 6(H - 25) + 100
Oh I get it!! Thanks.
To set up the equation, you need to establish a relationship between the setback distance (S) and the height of the building (H).
Based on the given information, we know that the setback (S) depends on two factors: a fixed distance of 100 feet and an additional distance of 6 feet for every foot of height (H) above 25 feet.
So, we can break down the equation into two parts:
1. The fixed distance of 100 feet: Regardless of the height, the building will always have a minimum setback distance of 100 feet. This is the constant term in the equation.
2. The additional distance of 6 feet for each foot of height above 25 feet: From the given information, for every foot of height above 25 feet, we need to add an extra 6 feet to the setback distance. So, for H - 25 feet, we need to add (H - 25) * 6 feet.
Combining these two parts, we can write the equation for the setback distance (S) in terms of the building height (H):
S = 100 + (H - 25) * 6
This equation represents a linear function relating the setback distance (S) to the building height (H) as described in the problem.