20. 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?
A. X= 10 +SOy
B.x= 50+10y
C. y=10+50x
D. y =50+ 10x
The correct equation that represents the relationship described in the question is:
D. y = 50 + 10x
To find the correct equation that represents the relationship between the number of extra workers hired (x) and the number of tires produced (y), we need to analyze the given information.
According to the problem, the company manufactures 50 tires per hour with its current staff. We also know that for every extra worker hired, the company can make 10 additional tires per hour.
This means that the initial number of tires produced, without any extra workers, is 50.
For each extra worker hired, the number of tires produced increases by 10.
Now, let's analyze the given equation choices:
A. X= 10 +SOy
This equation doesn't seem to represent the given relationship between the number of extra workers hired and the number of tires produced since it includes a "SO" term, which is not explained in the problem statement.
B. x= 50+10y
This equation seems to be incorrect because it assumes that the initial number of tires produced without any extra workers is 50, which contradicts the information provided.
C. y=10+50x
This equation also seems to be incorrect since it suggests that the number of tires produced (y) is dependent on the number of extra workers hired (x), but in reality, it should be the opposite way around.
D. y =50+ 10x
This equation represents the relationship correctly. It states that the number of tires produced (y) is equal to the initial number of tires without extra workers (50) plus 10 times the number of extra workers hired (10x).
Therefore, the correct equation that represents the relationship mathematically is D. y = 50 + 10x.