Question

Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?
(1 point)
Responses

140
140

165
165

201.6
201.6

176Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36?
(1 point)
Responses

140
140

165
165

201.6
201.6

176

Answer 1

To solve this problem, we can set up a proportion:

Since y varies directly with x, we can write the proportion as:

y/x = k

Where k is the constant of variation.

We are given that y = 25 when x = 140. Plugging these values into the proportion, we get:

25/140 = k

Simplifying this fraction, we find that:

1/7 = k

Now, we can use this value of k to find the value of x when y = 36:

36/x = 1/7

To solve for x, we can cross-multiply:

36 * 7 = 1 * x

x = 252/1

x = 252

So, the value of x when y = 36 is 252.