Guests arrive in groups of three to a party. 5 people leave the party early. If y is the number of people left at the party, and x is the nu that have arrived, then y = 3x - 5. Complete the table for the equation y = 3x - 5.
х
y
2
4
7
5

1, 3, 4, and 10

Step-by-step explanation:

To get a y value, substitute the x value into the equation they gave you (y = 3x - 5). For the x value 2:

y = 3(2) - 5

y = 6 - 5

y = 1.

To get a missing x value, solve for x in the equation they gave you. You were given the y value, so you can substitute that into the equation.

(4) = 3x - 5

Add 5 to both sides

9 = 3x

Divide both sides by 3

3 = x

Do the same with 7

(7) = 3x - 5

Add 5

12 = 3x

Divide by 3

4 = x

For the last one, you're given x so substitute it into the equation:

y = 3(5) - 5

y = 15 - 5

y = 10

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.