Suppose the number of hours boys B and the number of hours girls G take to complete their homework is modeled by B = 2n + 5 and G = 3n – 1, where n is the number of students. Write a function the models the total number T of hours it takes boys and girls to complete their homework for n students. PLEASE HELP MEEE

Respuesta :

Answer:

T =5n+4

Step-by-step explanation:

  • The number of hours boys take to complete their homework, B=2n + 5
  • The number of hours girls take to complete their homework, G = 3n – 1

We are to derive the total number T of hours taken by n students.

Total number of Hours,

T=Number of hours taken by boys+Number of hours taken by Girls

T=B+G

T=(2n + 5) + (3n – 1)

Next, we simplify by collecting like terms

T=2n + 5 + 3n – 1

 =2n+ 3n+ 5-1

T =5n+4

The total number of hours taken by n students is modeled by  T =5n+4