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

Step-by-step explanation:

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

$\frac{13}{65} =\frac{x}{35}$              

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

$\frac{13}{65} =\frac{x}{35}$              [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.