Which expression is equivalent?
1 answer:
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Answer:
The rule that defines the function represented by the table is:
- c.
Step-by-step explanation:
To identify the rule that defines the function represented by the table, you must know that , so, you can take formula by formula and replace in it the values given in the table, if the result is equal to
replacing the values of
, you're gonna know that formula is correct. Let's do that exercise with the formulas in order:
- a.
Now, we're gonna replace the variable by the first value in the table: 0
How you can see in the table, exactly below the value 0 to the variable is the value to
(40), how the answer with the A option doesn't result in 40, it doesn't the correct rule.
- b.
We replace with the value 0 again:
In this case, it neither gives us the value 40, for this reason, we pass to the next option:
- c.
We replace with the value 0 one more time:
With this option, the result is equal to the first datum, but, to check this, we can replace the same formula with one or two values more:
How you can see, with the C option, once you replace the value of , the result is exactly the value for
, for this reason, <u>the C option is the correct answer</u>.