A bowl with 2 cups of flour in it weighs 405 grams. When it has 5 cups of flour in it, it weighs 765 grams. How much does the bowl weigh by itself?

9514 1404 393

  165 grams

Step-by-step 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.

why do wages differ across industries

step-by-step explanation :

micro economists are concerned with economics on an industry or individual firm basis.

macro economists are concerned with national and international level