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Hunter-Best [27]
3 years ago
14

Which equation is a direct variation function?

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0

Answer:

y=x and y=1

                  4  x

Step-by-step explanation:

We know,

'Direct Variation function' is the function where two quantities vary directly i.e. variables x and y are said to be directly varying if 'y=kx' where k is the constant of variation.Thus, from the options, we see that the function,

y=x

is varying directly with the constant of variation i.e. k = 1.

y= 1

    4 x              

is also varying directly with constant k=1

                                                                 4

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If aₙ = n(a ₙ-₁) and a₁ = 1, what is the value of a₅?
ElenaW [278]

Answer:

The correct answer is Option c (120).

Step-by-step explanation:

The given value is:

a_1=1

a_n=n(a_{n-1})....(equation)

On putting the value of a_1 in the above equation, we get

⇒ a_2=2(a_{2-1})

        =2(a_1)

        =2\times 1

        =2

⇒ a_3=3(a_{3-1})

        =3(a_2)

        =3\times 2

        =6

⇒ a_4=4(a_{4-1})

        =4(a_3)

        =4\times 6

        =24

hence,

⇒ a_5=5(a_{5-1})

        =5(a_4)

        =5\times 24

        =120

Thus the above is the correct solution.

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