Question

Find the constant of variation for the relation, and use it to write an equation for the statement. Then solve the equation.
If y varies directly as x, and y = 6 when x = 7, find y when x=5.

Answer 1

something varies directly to something else, usually means
\(\bf \textit{something} = n \times \textit{something else} \implies y = n \times x\)

so, what's the "constant of variation" \(\bf \text{n}\) ? we dunno
but we do know that, when x = 7, y = 6
so let's use that in our equation \(\bf y = n \times x \implies 6 = n \times 7\)

solve for "n", to find the \(\bf \text{contant}\) of variation

Answer 2

ahem \(\bf \text{constant}\) rather =)

Answer 3

so n=6/7

Answer 4

what is a statement of a triangle inequality theorem?

Answer 5

yes, so now that you know that, use that in the equation, to find "y" when x = 5

so, x = 5, what's "y"?, well \(\bf y = n \times x \implies y = \cfrac{6}{7}\times 5\)

Answer 6

Solve y = kx for k when y=6 and x=7.\[y=\frac{6 x}{7} \] find y when x=5

Answer 7

y=30/7

Answer 8

thank you guys!

Answer 9

np