ifying an Error Examine the work shown. Explain the error and find the correct result. 2(4 – 16) – (–30) 2(–12) – (–30) 24 – (–3
3 answers:
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<h2>Answer/Step-by-step explanation:</h2>
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
The ratio of between y-variable and x-variable would be constant.
Direct variation can be represented by the equation, , where k is a constant. Thus,
From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).
Thus, ratio of y to x,
k = 0.5.
If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into , should give us the same constant if proportionality.
Let's check:
When x = 2, and y = 1:
,
,
When x = 3, y = 1.5:
,
When x = 5, y = 2.50:
,
The constant of proportionality is the same. Therefore, the relationship forms a direct variation.
Answer:
The error interval for x is:
Step-by-step explanation:
In order to determine the error interval for x, We have to get the all the number which could be rounded off to .
These number can be listed in order such as:
15.375 15.376 15.377 15.378 15.379 15.380 15.381 15.382 15.383 15.384
Therefore, the error interval for x is: