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Bob takes a job in which he receives a starting salary of $30000 per year, with raises of $600 per year. Sue takes a job in which she receives a starting salary of $15000 per half year, with raises of $300 every six months. Which person is better paid? Explain. ​

Sagot :

Using linear functions, it is found that both people are paid the same.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For Bob, we have that that the intercept is of 30000, with a slope of $600, hence his salary after x years is given by:

B(x) = 30,000 + 600x.

For Sue, we have that that the intercept is of 2 x 15000 = 30000, which is the fixed yearly salary with a slope of 2 x 300 = $600, hence her salary after x years is given by:

S(x) = 30,000 + 600x.

The salaries are equal, that is, both people are paid the same.

More can be learned about linear functions at https://brainly.com/question/24808124

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