Gilbert has 50 drywall screws. he is purchasing more screws. he can purchase up to 6 boxes of screws. each box of screws contains 200 screws. he can't purchase partial boxes. the function that models the number screws gilbert has is f(b)=200b+50 f ( b ) = 200 b + 50 , where b is the number of boxes he purchases. what is the practical domain of the function?

Step-by-step explanation:

Given: Gilbert has 50 drywall screws. He is purchasing more screws. He can purchase up to 6 boxes of screws.

Each box of screws contains 200 screws.

The function that models the number screws which Gilbert has is

,  where b is the number of boxes he purchases.

As, he can't purchase partial boxes., therefore b should be a natural number which is less than equal to 6.

Thus, the domain of the function =

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!