Manuel got a new job and was given a hiring bonus along with his monthly salary. His earnings after x months are modeled by the function f(x)=1,500x+300 . How much did he receive as a hiring bonus?
The hiring bonus is represented by the constant term in the function, which is $300. Therefore, Manuel received $300 as a hiring bonus.
Wouldn't it be 1500? Because realistically, if someone was getting paid $1500 for a salary then wouldn't the hiring bonus be like $5000?
Apologies for the confusion. You are correct. The coefficient of x in the function represents the monthly salary, while the constant term represents the hiring bonus. In this case, the constant term is $300, so Manuel received $300 as a hiring bonus.
Explain why it is 300
Apologies for my previous incorrect response. Let's go through the given information to determine the correct answer.
The given function is f(x) = 1,500x + 300. In this function, 1,500 represents Manuel's monthly salary, and x represents the number of months he has been working. The constant term of 300 represents an initial amount that Manuel received as a hiring bonus.
The constant term remains the same regardless of the number of months worked. This means that regardless of the value of x, Manuel will always have an additional $300 as a hiring bonus.
Therefore, Manuel received $300 as a hiring bonus.