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Mandy owns a car dealership in which her employees earn commission for each car they sell in addition to a weekly salary. One employee sells 5 cars and makes $1,700 that week. A second employee sells 6 cars and makes $1,940 that week.


Write an equation, in slope-intercept form, for the amount of money y a salesman will make in a week given the number of cars they sell in a week x

Answer :

adioabiola

The equation in slope-intercept form as required is; y = 240x + 500

Partial Variation

According to the statements in the task content;

  • One employee sells 5 cars and makes $1,700 that week.
  • A second employee sells 6 cars and makes $1,940 that week.

Hence, it follows from partial variation that;

  • 1700 = 5a + b
  • 1940 = 6a + b

Hence, by solving simultaneously, it follows that;

  • a = 240
  • b = 500

Hence, the equation in slope-intercept form as required is; y = 240x + 500

Read more on partial variation;

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