Answer:
[tex]b = 90w[/tex]
Step-by-step explanation:
Required
Determine the relationship
Represent the workers with w and bricks with b
First, we need to determine the constant of proportionality using:
[tex]b = kw[/tex]
Solve for k
[tex]k = \frac{b}{w}[/tex]
When w = 1; b = 90:
[tex]k = \frac{90}{1}[/tex]
[tex]k = 90[/tex]
When w = 2; k =180
[tex]k = \frac{180}{2}[/tex]
[tex]k = 90[/tex]
Notice that [tex]k = 90[/tex] in both cases;
Substitute 90 for k in [tex]b = kw[/tex]
[tex]b = 90w[/tex]
Hence; the relationship is [tex]b = 90w[/tex]