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1. If y varies directly as x, and y = 12 when x = 15, find x when y = 21.​

Sagot :

Answer:

X = 26.25

Step-by-step explanation:

Y = kx

12 = k (15)

12 = 15k {divide both sides by 15}

K = 0.8

Y=kx

21 = 0.8x {divide both sides by 0.8}

X = 26.25

First Step : Have first the value of your constant.

[tex]y = kx \\ 12 = k(15) \\ \frac{12}{15} = k \\ k = \frac{4}{5} [/tex]

Second Step : Proceed to what is asked.

[tex]y = \frac{4}{5} x \\ 21 = \frac{4}{5} x \\ 21(5) = 4x \\ x = 26 \frac{1}{4} = 26.25[/tex]