Write the direct variation function given that y varies directly with x, and y = 42 when x = 7. HELP ASAP!!

y = 6x

Step-by-step explanation:

y α x

y = kx

Where k is the constant of proportionality.

When y = 42; x = 7;

We substitute these known values in the equation,

y = kx

42 = k7

Dividing both sides of the equation by 7 to find the value for k, we have

42/7 = k7/7

Therefore,

K = 6.

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 6x.

The direct variation function is therefore,

y = 6x.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16