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Sagot :
Supposing a linear model, it is found that Jackson would need to translate 2500 pages to earn $750.
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
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.
In this problem, we suppose that:
- He earns a salary of $500, hence b = 500.
- He earns $0.1 per page translated, hence m = 0.1.
Thus, his salary as a function of the number of pages translated x is given by:
[tex]y = 0.1x + 500[/tex]
When he earns $750, y = 750, hence:
[tex]y = 0.1x + 500[/tex]
[tex]750 = 0.1x + 500[/tex]
[tex]0.1x = 250[/tex]
[tex]x = \frac{250}{0.1}[/tex]
[tex]x = 2500[/tex]
Jackson would need to translate 2500 pages to earn $750.
You can learn more about linear functions at https://brainly.com/question/24808124
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