Answer:
Part A: Equation to represent monthly profit made by tutoring x student:
<em>z </em>= 120<em>x</em> - 760
Part B: Number of students tutored in first month (x) = 8.
Step-by-step explanation:
Let the number of students being tutored by Mertin and his sister per month be<em> x.</em>
Fee charge for one student per month = $120
Total money earned by tutoring x students in a month = 120<em>x</em>
Total office rent paid per month = $ 760
Part A:
Let profit per month = <em>z</em>
Profit per month = Total money earned by tutoring per month - cost of rent per month.
According to question,
<em> z </em>= 120<em>x</em> - 760 .......(Eq. 1)
where z is total profit, x is total number of student tutored.
Part B:
Now, profit earned in first month (<em>Z</em>) = 200 $
Using Eq. 1,
<em>z </em>= 120<em>x</em> - 760
Putting the value of <em>z</em> in above equation,
200 = 120 <em>x </em>- 760
120 x = 200 + 760
120 x = 960
x = 960/120
x = 8
So the number of students tutored by Martin and his sister in first month are 8.
