Tran is packing a box of books and toys to be shipped. each book weighs 3 pounds and each toy weighs 0.5 pound. the total weight of the box must be less than 10 pounds. what are the constraints on the variables?

number of books should be less than 3 and number of toys should be less than 14.

Step-by-step explanation:

Tran is packing a box of books and toys.

A book weighs 3 pounds and each toy weighs  (0.5) pound

Let the number of books is x and number of toys is y.

Then as per statement of the question inequality formed will be

Total weight of books and toys < 10

( 3x + 0.5y < 10 )

for x  =     1      2       3    which means    1 ≤ x < 3

     y  =    14     8      2                              2 ≤ y < 14

Therefore, number of books should be less than 3 and number of toys should be less than 14.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

8

step-by-step explanation: