Answer:
[tex]\$31.25[/tex]
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Let
y-------> the interest earned on an account
x------> the balance in the account
step 1
Find the constant k of proportionality
For [tex]x=\$200,y=\$12.50[/tex]
[tex]k=y/x[/tex]
substitute the values
[tex]k=12.50/200=0.0625[/tex]
The equation is
[tex]y=0.0625x[/tex]
step 2
Find the amount of interest earned on an account with a balance of $500
so
For [tex]x=\$500[/tex] substitute in the equation and solve for y
[tex]y=0.0625(500)=\$31.25[/tex]
