Creating Raster with values based on function output

Question

I have a function that calculates a price based on the input slope and distance. I want to write the price to a raster as the rastervalue. How do I do that? OpenSource and ArcMap solutions would work.

slopeRaster = "slope.tif"
emptyRaster = "emptyraster.tif" # How do I create an empty raster?
road = "road.shp"

for cell in emptyraster:
    # get slope from sloperaster at cell location
    ...
    slope = ...

    # get distance to nearest road from center of cell
    ...
    distance = ...

    # calculate price for cell
    price = pricefunc(slope, distance)

    # write price to cell as value  # How do I write a value to a raster