Question

Not sure what number 3 is. Linear Relationships. Any help?

Answer 1

The value of y varies directly with x, so
`(y)/(x)=\text{const}`

We have:



`(y_1)/(x_1)=(y_2)/(x_2)\\\\\\x_1=(1)/(4)\qquad y_1=25\qquad\qquad x_2=2(1)/(3)\qquad y_2=?\\\\\\ (25)/((1)/(4))=(y_2)/(2(1)/(3))\\\\\\ 100=(y_2)/(2(1)/(3))\qquad|\cdot2(1)/(3)\\\\\\ 100\cdot2(1)/(3)=y_2\\\\\\\boxed{y_2=233(1)/(3)}`

Answer A)