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

Answer:

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

Step-by-step 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

Answer 2

Answer:

A) 0.2*(2000 + 350s) = 400 + 70s

B) $3900

Step-by-step explanation:

A) Given the expression: 0.2*(2000 + 350s). Applying the distributive property of multiplication over addition, we get:

0.2*(2000 + 350s) = 0.2*2000 + 0.2*350s = 400 + 70s

B) Replacing s = 50 into the equation:

0.2*[2000 + 350(50)] = 0.2*[2000 +  17500] = 0.2* 19500 =  $3900