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Fed [463]
3 years ago
11

Suppose Y varies directly with X, and Y = 15 and X = 5. Write a direct variation equation that relates X and Y. What is the valu

e of Y when X = 9?
Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Given that Y varies directly with X, and Y = 15 and X = 5, if we introduce a constant of proportionality, k, the expression becomes

15 = 5k

k = 15/5

k = 3

The equation would be

Y = 3X

Therefore, when X = 9, the value of Y would be

Y = 3 × 9

Y = 27

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