Question

Determine whether each linear relationship is a direct variation. If so, state the constant of proportionality. (Example 4) 4. Pictures, x 3 4 5 6 51 Minutes, 185 235 285 335 Profit, y 24 32 40 48 Cost, y 60 100 140 180 7. 6. Game, X 2 5 20 5 15 10 Year, x Polnts, y 4 1 5 6 7 25 50 12.5 37.5 Helght, y

Answer 1

table 4 . Direct Variation, constant of proportionality =8

Table 5: No. There is not a direct variation, for the growth is not at a constant factor.

1) To state whether there is a direct variation, we need to examine each row to stat how it increases or decreases

2) So for table 4

x y

3 24

4 32

5 40

6 48

For this, we can write a linear function y=8x

Yes. Direct Variation. Constant of proportionality 8

Table 5

x y

185 60

235 100

285 140

335 180

No. There is not a direct variation, for the growth is not at a constant factor.

Table 6

x y

5 12.5

10 25

15 37.5

20 50

We can set a linear function for that y=5/2 x

Yes. Direct Variation. Constant of proportionality 5/2 (2.5)

Table 7

x y

2 4

3 5

4 6

5 7

There is not a direct variation, for the growth is not at a constant factor.