Question

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

Answer 1

The direct variation function is y = 6x.

Step-by-step explanation:

In direct variation, a variable y varies directly with another variable x if their ratio is constant. The equation of direct variation is y = kx, where k is the constant of proportionality. In this case, we are given that y = 42 when x = 7. Substituting these values into the equation, we can solve for k.

42 = k * 7
k = 42/7 = 6

Therefore, the direct variation function is y = 6x.

Answer 2

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.