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   .

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.