Jeffrey is a kickboxing instructor who will be teaching classes at a local gym. To get certified
as an instructor, he spent a total of $200. Jeffrey will be earning a base salary of $50 per
month from the gym, plus an additional $3 for every class he teaches. If Jeffrey teaches a
certain number of classes during his first month as an instructor, he will earn back the
amount he spent on certification. How many classes will that take?

Respuesta :

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Amount spent on certification = $200

Base salary = $50

Payment per class = $3

Let, x be the number of classes.

J(x) = 50+3x  

He needs to earn $200 dollars in first month, therefore,

50+3x=200

[tex]3x=200-50\\3x=150[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{150}{3}\\x=50[/tex]

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Keywords: function, linear equation

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