Preheat oven to 350°F and butter a 9-inch pie plate or cake pan.
Spread apples evenly in the pan. Mix together 1 tablespoon sugar, cinnamon, and pecans and sprinkle over the apples.
In a large bowl, cream the butter and sugar until light and fluffy. Beat in the egg.
In another bowl, sift together flour, salt, and baking powder, then stir into butter mixture. Batter will be somewhat thick, more like cookie dough than a batter.
Spoon batter over apples and spread as best you can to cover all areas.
Bake for 35-40 minutes, until golden brown.
Let pie rest in pan 5 minutes, then turn out onto a serving plate or cake stand. Serve warm with whipped cream.