Answered

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2) Tell whether each relationship is a direct variation. If it is a direct variation, find the constant of variation. (Remember, the constant of variation is the k.) Explain.

2 Tell Whether Each Relationship Is A Direct Variation If It Is A Direct Variation Find The Constant Of Variation Remember The Constant Of Variation Is The K Ex class=

Sagot :

2a) it is not a direct variation

2b) it is a direct variation; k = -4

Explanantion:

For the relationship to be a direct variation, it must follow the formula:

y = kx

where k = constant of variation

k = y/x

The value of k must be constant for all

for 2a:

when y = 0, x = -3

k = 0/-3 = 0

when y = 3, x = 1

k = 3/1 = 3

when y = 6, x = 3

k = 6/3 = 2

From the above, the value of k is not constant. hence, it is not a direct variation

for 2b:

when y = -10, x = 2.5

k = -10/2.5 = -4

when y = -20, x = 5

k = -20/5 = -4

when y = -30, x = 7.5

k = -30/7.5 = -4

From the above, the value of k is constant. Hence, it is a direct variation

The constant of variation, k = -4

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