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:
[tex]\displaystyle \frac{y}{x}=k[/tex]
From that definition, it follows:
[tex]y=kx[/tex]
The problem states y=60 when x=3/4. This information is enough to find the value of k:
[tex]\displaystyle \frac{60}{3/4}=k[/tex]
Operating:
[tex]k=80[/tex]
The relation between y and x is, then:
[tex]y=80x[/tex]
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:
[tex]\displaystyle 4\frac{1}{2}=4+\frac{1}{2}=\frac{9}{2}[/tex]
Substituting in the relation:
[tex]\displaystyle y=80\frac{9}{2}=360[/tex]
The value of y is 360
