Question

Needing to Find the Value of Y

Answer 1

Answer:

The value of y is 360

Step-by-step explanation:

Proportions

Two variables x and y are proportional if their quotient is a constant value:

$\displaystyle \frac{y}{x}=k$

From that definition, it follows:

$y=kx$

The problem states y=60 when x=3/4. This information is enough to find the value of k:

$\displaystyle \frac{60}{3/4}=k$

Operating:

$k=80$

The relation between y and x is, then:

$y=80x$

Now let's find the value of y when x=4 1/2. Since the value of x is given as a mixed fraction, we'll convert it to improper fraction:

$\displaystyle 4\frac{1}{2}=4+\frac{1}{2}=\frac{9}{2}$

Substituting in the relation:

$\displaystyle y=80\frac{9}{2}=360$

The value of y is 360