A tire company manufactures 50 tires an hour with its current staff. The company can make 10 extra tires per hour for every extra worker it hires. Which of the following equations represents this relationship mathematically, with x being the number of extra workers hired and y being the number of tires produced?
with y being the number of tires produced per hour,
y = 50 + 10x
To represent the relationship between the number of extra workers hired (x) and the number of tires produced (y), we need to determine the base production rate and the rate of increase in production.
Given that the tire company manufactures 50 tires an hour with its current staff, this can be considered as the base production rate.
It is also stated that the company can make 10 extra tires per hour for every extra worker it hires. This gives us the rate of increase per worker.
Therefore, the relationship between x (number of extra workers) and y (number of tires produced) can be represented as:
y = 50 + 10x
In this equation, the constant term 50 represents the base production rate of 50 tires per hour, and the term 10x represents the additional tires produced for each extra worker hired.