Question

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?

Answer 1

9514 1404 393

Answer:

  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.

__

Each cup of flour weighs 120 grams.

Answer 2

Answer:

im think the bowl weighs 49.5 grams by itself

Step-by-step explanation:

405/2= 202.5

765/5=153

202.5-153=49.5