Question

The first given value varies directly as the second given value. Find the constant of variation and write an equation of direct variation. An airplane traveled 1560 miles (d) in 5 hours (t)

A. k = 312, y = 312x
B. k = 780, y = 780x
C. k = 312, y = 1560x
D. k = 780, y = 1560x

Answer 1

The constant of variation is 312 and the equation of direct variation is d = 312t.

Step-by-step explanation:

To find the constant of variation, we can use the formula k = y/x, where k is the constant of variation, y is the first given value, and x is the second given value. In this case, the first given value is the distance traveled (d) and the second given value is the time taken (t).

So, k = d/t = 1560/5 = 312. Therefore, the constant of variation is 312.

The equation of direct variation is y = kx, where y is the first given value and x is the second given value. In this case, the equation of direct variation is d = 312t.