Respuesta :

Just set up a proportion with the original numbers and then the numbers you want to find like so: (x1/y1)=(x2/y2) and since you want to find the second y value, just leave y as a variable like so: (15/24)=(3/y) after this just cross multiply and get the answer: 15y=72.....y=4.8

Answer:

[tex]y=\frac{5}{8}x[/tex]

[tex]y=\frac{15}{8}[/tex], when [tex]x=3[/tex].

Step-by-step explanation:

We have been given that  y varies directly with x, and [tex]y=15[/tex] when [tex]x=24[/tex].

We know that two direct proportional quantities are in form [tex]y=kx[/tex], where k is constant of proportionality.

Let us find constant of proportionality by substituting [tex]y=15[/tex] and [tex]x=24[/tex] in above equation.

[tex]15=k*24[/tex]

[tex]\frac{15}{24}=\frac{k*24}{24}[/tex]

[tex]\frac{3*5}{3*8}=k[/tex]

[tex]\frac{5}{8}=k[/tex]

Therefore, our required equation would be [tex]y=\frac{5}{8}x[/tex].

Let us substitute [tex]x=3[/tex] in the equation.

[tex]y=\frac{5}{8}(3)[/tex]

[tex]y=\frac{15}{8}[/tex]

Therefore, the value of y is [tex]\frac{15}{8}[/tex].