Q:

HELP PLEASE I WILL MAKE BRAINLYISTMartin and his sister started a new tutoring business. They rent an office for $760 per month and charge $120 per student per month.Part A: Write an equation to represent the monthly profit they make for tutoring x students.Part B: If they made a profit of $200 in the first month, solve the equation in part A to find the value of x. Justify each step by writing the property or reason next to it.Use words, numbers, and/or pictures to show your work.​

Accepted Solution

A:
Answer:Part A: Equation to represent monthly profit made by tutoring x student:z = 120x - 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 x.Fee charge for one student per month = $120Total money earned by tutoring x students in a month = 120xTotal office rent paid per month = $ 760Part A:Let profit per month = zProfit per month = Total money earned by tutoring per month - cost of rent per month.According to question, z = 120x - 760  .......(Eq. 1)where z is total profit, x is total number of student tutored.Part B:Now, profit earned in first month (Z) = 200 $Using Eq. 1,z = 120x - 760 Putting the value of z in above equation,200 = 120 x  - 760120 x = 200 + 760120 x = 960x = 960/120x = 8So the number of students tutored by Martin and his sister in first month are 8.