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

The total number of hours taken by n students is modeled by   .

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 .

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

⇒

Next, we simplify by collecting like terms

⇒

⇒

⇒

The total number of hours taken by n students is modeled by   .

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