92.4k views
4 votes
Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36? A. 140. B. 165. C. 201.6. D. 176

User Maschina
by
7.9k points

1 Answer

0 votes
The statement suppose that y varies directly with x is best represented as:

y α x

To make it into equality, we insert a proportionality constant, k:

y= kx

Using the initial conditions, we solve for k.

y= kx
y = 25 when x = 140

25 = k(140)
k = 5/28

Thus, when
y = 36,

36 =5/28x
x = 201.6 -----> OPTION C
User Alphiii
by
8.6k points