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 z, and y=40 when x=5 z=4, find y when x=2 and z=1

y = 4

Step-by-step explanation:

We can write an equation and plug in the given values to find the constant of variation first:

y = kxz

40 = k(5)(4)

40 = 20k

2 = k (constant of variation)

Our equation will be y = 2xz

Now, we can solve the equation for y:

y = 2xz

y = 2(2)(1)

y = 4

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the 14th row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100