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Please HELP I GIVE BRAINLIESTT!!
You signed a contract that has guaranteed you to make $11.75 per hour and you get a 50$ sign bonus!
Your current paycheck is represented by the function below:
f(x)=11.75x+50
Now here is the fun part! You want to figure out how many hours you must work to buy your favorite car! ----- Cost of dream car ($200,000)

1. Use the space below to work out how many hours (x) you must work to pay for your dream car.
2. Sketch a graph to demonstrate your equation. Be sure to label the axis in terms of hours and dollars earned.
3. Then in complete senetnce(s) explain what that means in terms of the domain. If you worked more hours could you buy a nicer car? Could you work fewer hours and buy a cheaper car?

Respuesta :

MrRoyal

The function that represents the paycheck is an illustration of a linear function

  • The number of hours to earn $200000 is 17017 hours
  • He'd earn more if he works more, and vice versa

The function is given as:

[tex]f(x) = 11.75x + 50[/tex]

(a) Hours to earn $200000

This means that:

[tex]f(x) = 200000[/tex]

So, we have:

[tex]11.75x + 50 = 200000[/tex]

Collect like terms

[tex]11.75x = 200000 - 50[/tex]

[tex]11.75x = 199950[/tex]

Solve for x

[tex]x = \frac{199950}{11.75}[/tex]

[tex]x = 17017[/tex]

(b) See attachment for the graph of [tex]f(x) = 11.75x + 50[/tex]

(c) The possible values

The function is a linear function with a positive slope.

This means that:

  • An increase in x would increase the function of f(x)
  • A decrease in x would decrease the function of f(x)

Hence,

If you worked more hours; you'd get a nicer car

If you worked less; you'd get a cheaper car

Read more about linear functions at:

https://brainly.com/question/11897796

Ver imagen MrRoyal

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