The total weight of the package is dependent on the value of the variable p. The true statement for the given case is given by: Option 3: If weight of the equipment is 20 oz, then the total weight of the package is 23 oz.
How to find the relationship between two variables?
For the tabulated data, we can try fitting some curve to the given data between two variables to see if there is any relationship between two variables. Sometimes, there is exact relationship, sometimes to some degree(measured by correlation, or fitting polynomial regression), or sometimes they are independent of each other).
For the given case, two variables in consideration are:
w = weight of equipment (oz, it means weight is calculated in oz units).
p = total weight of package (in oz)
From the table, we can see that for each value of w, the value of p is 3 more than whatever value of w is there.
Symbolically, we can write that:
[tex]p = w + 3[/tex]
Now, checking all the options:
- Case 1: If weight of the equipment is 15 oz, then the total weight of the package is 30 oz.
If w = 15, then p = w + 3 = 15 + 3 = 18 oz ≠ 30 oz, thus, it is incorrect.
It is incorrect since p = w + 3
- Case 3: If weight of the equipment is 20 oz, then the total weight of the package is 23 oz.
If w = 20 oz, then p = w = 3 = 20 + 3 = 23 oz
Thus, p = total weight of the package would be 23 oz.
Thus, this option is correct.
- Case 4: To find any value of p, subtract 3 from the corresponding value of w.
It is incorrect, since we add 3 to the value of w to find the corresponding value of p.
Thus, the true statement for the given case is given by: Option 3: If weight of the equipment is 20 oz, then the total weight of the package is 23 oz.
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