Question

HELP PLEASE I WILL MAKE BRAINLYIST

Martin 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.​

Answer 1

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 = $120

Total money earned by tutoring x students in a month = 120x

Total office rent paid per month = $ 760

Part A:

Let profit per month = z

Profit 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  - 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.