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katrin2010 [14]

3 years ago

8

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 bo

wl weigh by itself?

2 answers:

miskamm [114]3 years ago

8 0

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.

arlik [135]3 years ago

3 0

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

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