Question

1. the daily wage y (in dollars) of a factory worker is proportional to the number of parts x assembled in a day. a worker who assembles 250 parts in a day earns $75. a. write an equation that represents the situation. b. how much does a worker earn who assembles 300 parts in a day?

Explanation:

Step1: Find the constant of proportionality

Since $y$ is proportional to $x$, the equation is $y = kx$. We know that when $x = 250$ and $y=75$. Substitute these values into the equation: $75=k\times250$. Solving for $k$, we get $k=\frac{75}{250}=0.3$.

Step2: Write the equation

The equation representing the situation is $y = 0.3x$.

Step3: Calculate the wage for 300 parts

Substitute $x = 300$ into the equation $y = 0.3x$. So $y=0.3\times300 = 90$.

Answer:

a. $y = 0.3x$
b. $90$