Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation

Answer 1

Answer:

yes; y = 1.2(x)

Step-by-step explanation:

Based on the information we know it is yes because x goes up six each time as y increases by 5 each time. So, if we take 6 and divide it by 5 it equals 1.2.

1.2 x 10= 12 (x10,y12)

1.2 x 15=18 (x15,y18)

1.2 x 20 = 24 (x20,y24)

Or we divide y by x and get 1.2 each time, since division is the oppisite of multiplication.

24/20 = 1.2

18/15 = 1.2

12/10 = 1.2

So, the answer should be y=1.2x.

Answer 2

Yes. For every 5 x, y goes up 6, so it's slope is
Y=(6/5)x