Math a food manufacturer specifies that every family size box of cereal should have a net weight of 25 oz with a tolerance of 1.2 oz write and solve an inequality that describes the acceptable net weight for the cereal in a family size box

23.8 oz ≤ x ≤ 26.2 oz

Step-by-step explanation:

A box underweight by 1.2 oz. would be acceptable, as would a box overweight by 1.2 oz, or a box whose weight is between these two.

Thus, 25 oz - 1.2 oz ≤ x ≤ 25 oz + 1.2 oz, or

           23.8 oz ≤ x ≤ 26.2 oz

If the net weight is 25 oz, and the tolerance is 1.2 oz, then the minimum weight is the net minus the tolerance, or 25 oz - 1.2 oz = 23.8 oz.

Similarly, the maximum weight will be the net plus the tolerance, or 25 oz + 1.2 oz = 26.2oz.

So the weight must be between 23,8 oz and 26.2 oz, and you can write this as : 23.8 oz < W < 26.2 oz. (where W is the weight of the box of cereal)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.