Is f(x)=6x a direct variation

is a direct variation.

Step-by-step explanation:

Given the function

We have to determine whether the equation is a direct variation or not.

As we know that in direction variation, y and x increase or decrease by the same factor by the formula

where 'k' is the constant of variation

Given the function

Here 6 is the constant of variation            ∵

Also y and x increase and decrease by the same factor

For example,

when x=6, y = 6(x)=6(6)=36

when x=8, y = 6(x) = 6(8) = 48

Hence, when x increase, the y increases by the same factor.

Therefore, is a direct variation.

f. none of the above

Step-by-step explanation:

90 + 63 = 153

180 - 153 = 27

∠A = 27°