Question

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 that models the total number T of hours it takes boys and girls to complete their homework for n students

Answer 1

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

Step-by-step explanation:

Here we have , 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. We need to  write a function that models the total number T of hours it takes boys and girls to complete their homework for n students .

• 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

⇒ $T=2n + 5 + 3n - 1$

⇒ $T=2n+ 3n+ 5-1$

⇒ $T =5n+4$

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