Which algebraic expression is represented by the model?

3(2x+2) = 6x + 6

Step-by-step explanation:

Those are algebra tiles, so it is saying (if you read across the top) 2x +2 then if you read down you have 3 units, so the dot means 2x + 2 multiplied by 3

If you write it in algebraic terms it is 3(2x+2) so the answer when you distribute is 3 (2x) + 3(2) so 6x + 6, and if you count the number of red rectangles you have 6 of them, hence the 6x, and if you cound the units in gray you have 6 of them, hence the 6.

Algebra tiles are used to demonstrate algebra concepts

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

linear pair postulates