Answer:
[tex]\displaystyle y=\frac{45}{7}[/tex]
Step-by-step explanation:
Direct Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]\displaystyle \frac{y}{x}=k[/tex]
Where k is a constant.
We know y=25 when x=140, and it's required to find the value of when x=36.
For any pair of values (x,y), their ratio is constant:
[tex]\displaystyle \frac{25}{140}=\frac{y}{36}[/tex]
Multiplying by 36:
[tex]\displaystyle y=36*\frac{25}{140}[/tex]
[tex]\displaystyle y=\frac{900}{140}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle y=\frac{45}{7}}[/tex]
