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.

__

Each cup of flour weighs 120 grams.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

any options?

step-by-step explanation: