Question

1. The value of y varies directly with x. If

x = 13, then y = 65. What is the value of x
when y = 35?

Answer 1

Answer: x=7

Explanation:

To find the value of x, we can set a proportion since the problem states that "y varies directly with x".

`(13)/(65) =(x)/(35)`

Here, we see that the x is the numerator and y is the denominator.

`(13)/(65) =(x)/(35)` [cross multiply]

`455=65x` [divide both sides by 65]

`x=7`

Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.