which of the following is an example of a direct variation

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Miellebrionesgo Miellebrionesgo

Math

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which of the following is an example of a direct variation

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RogeVincent1010go RogeVincent1010go · Answer 1

✏️VARIATION

[tex]\blue{•••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\underline{\mathbb{DIRECTION}}[/tex]

Choose the letter of the correct answer

[tex]\blue{•••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\large\underline{\mathbb{ANSWER}}[/tex]

#1. Which of the following is an example of a direct variation.

[tex]\large\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\: A.\:Y=(3)(x)\:\:\:\:\:\:\:\ }}}}[/tex]

#2. Which of the following is an example of a inverse variation

[tex]\large\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\: B.\:\frac{k}{x}\:\:\:\:\:\:\:\ }}}}[/tex]

#3. What the value of (K) (the constant of variation ) in the equation Y=kab.

[tex]\large\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\: A.\:\frac{y}{ab}\:\:\:\:\:\:\:\ }}}}[/tex]

#4. m varies directly an (n) but inversely as (p) .What is (k) if (m) is 16, (n) is 8 and p is 18?

FORMULA

[tex]\large\color{black}{{{\boxed{\tt\red{} \:\:\:\:\:m = \frac{kn}{p} \:\:\:\:\:\:\:\ }}}}[/tex]

Find a constant variation

[tex]16 = \frac{(k)(8)}{18}\\[/tex]

[tex]16 = \frac{8k}{18}\\[/tex]

[tex] \frac{\cancel8k}{\cancel8} = \frac{288}{8}\\[/tex]

[tex]k = 36[/tex]

[tex]\large\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:D.\:36 \:\:\:\:\:\:\:\ }}}}[/tex]

#5 A journey takes 8 hours at 60 km /hr. How long will the same journey take 70 km\hr.

Use the Direct variation

GIVEN

[tex] j=8[/tex]

[tex] k=60[/tex]

[tex] k=?[/tex]

FORMULA

[tex]\large\color{black}{{{\boxed{\tt\red{} \:\:\:\:\:j = (k)(k) \:\:\:\:\:\:\:\ }}}}[/tex]

[tex]8 = (k)(60)[/tex]

[tex]8 = 60k[/tex]

[tex] \frac{8}{60} = \frac{\cancel{60}k}{\cancel{60}} \\[/tex]

[tex]k = \frac{4}{30} \\[/tex]

[tex] k = \frac{2}{15}\\[/tex]

[tex]{•••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

GIVEN

[tex] k=\frac{2}{15}\\[/tex]

[tex] k=70[/tex]

[tex] J=?[/tex]

SOLUTION

[tex]J = ( \frac{2}{15} )(70) \\[/tex]

[tex]J= \frac{28}{3} \\ [/tex]

[tex] J=9\frac{1}{3}\\[/tex]

A journey takes 9 hours in 70 km/hr

[tex]\large\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\: A.\:9\frac{1}{3}\:\:\:\:\:\:\:\ }}}}[/tex]

[tex]\blue{•••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#Carry On Learning