9514 1404 393
Answer:
165 grams
Explanation:
We can write an equation for the total weight (y) as a function of the number of cups of flour (x). The y-intercept of that equation will be the weight of the bowl.
The two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
The two points we are given are (2, 405) and (5, 765).
y = (765 -405)/(5 -2)(x -2) +405
y = 360/3(x -2) +405 . . . . simplify a bit
y = 120x -240 +405 . . . . . eliminate parentheses
y = 120x +165 . . . . . . . . . . combine terms
The bowl by itself weighs 165 grams.
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Each cup of flour weighs 120 grams.