This equation shows how the total number of appetizer recipes Emily knows depends on the number of weeks she attends culinary school. a = w + 17 The variable w represents the number of weeks she has attended culinary school, and the variable a represents the total number of appetizer recipes she knows. After how many weeks of culinary school will Emily know a total of 19 appetizer recipes?

W=2

Step-by-step explanation:

First you have to fill A in as 19 because thats how many culinary recipes that she will need to know

Second you then have to get the variable W by itself so you would subtract 17 from the side that W is on

Once you subtract 17 from one side you have to subtract from the other

So therefore W would =2

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3