Question

1. Math Fit is a tutoring company for high school students taking Algebra 1, Algebra 2,

Geometry, Pre-calculus and Calculus. The profit this company makes in a year is
given by the expression 0.2(2000 + 350s), where s is the total number of students
enrolled.
Part A: Use the distributive property to write an equivalent expression.
Part B: What is the company's yearly profit if its enrollment is 50 students?

Answer 1

Part A: Profit = 400 + 70 s, Part B : $3900

Explanation:

Part A:

We know that the expression is: 0.2 ( 2000 + 350 s ). Using the distributive property :

Profit = 0.2 · 2000 + 0.2 · 350 s = 400 + 70 s

Part B :

The company's yearly profit when: s = 50 ( the total number of students )

P ( 50 ) = 400 + 70 · 50 = 400 + 3500 = $3900