Answered

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Try working with one more function:

[tex]\[ y = 390 + 11x \][/tex]

Compare the function given by the equation with the values in the table below:

[tex]\[
\begin{array}{|c|c|}
\hline
x\text{-value} & y\text{-value} \\
\hline
-50 & -180 \\
\hline
-45 & -110 \\
\hline
-40 & -40 \\
\hline
-35 & 30 \\
\hline
-30 & 100 \\
\hline
\end{array}
\][/tex]

Do the table and the equation represent the same function?

A. Yes

B. No

Sagot :

GinnyAnswer
To determine if the table and the equation represent the same function, we need to compare the [tex]\(y\)[/tex]-values calculated using the equation [tex]\( y = 390 + 11x \)[/tex] with the [tex]\(y\)[/tex]-values provided in the table for the same [tex]\(x\)[/tex]-values.

1. For [tex]\( x = -50 \)[/tex]:
[tex]\[ y = 390 + 11(-50) = 390 - 550 = -160 \][/tex]
The table value is [tex]\(-180\)[/tex]. These values do not match.

2. For [tex]\( x = -45 \)[/tex]:
[tex]\[ y = 390 + 11(-45) = 390 - 495 = -105 \][/tex]
The table value is [tex]\(-110\)[/tex]. These values do not match.

3. For [tex]\( x = -40 \)[/tex]:
[tex]\[ y = 390 + 11(-40) = 390 - 440 = -50 \][/tex]
The table value is [tex]\(-40\)[/tex]. These values do not match.

4. For [tex]\( x = -35 \)[/tex]:
[tex]\[ y = 390 + 11(-35) = 390 - 385 = 5 \][/tex]
The table value is [tex]\(30\)[/tex]. These values do not match.

5. For [tex]\( x = -30 \)[/tex]:
[tex]\[ y = 390 + 11(-30) = 390 - 330 = 60 \][/tex]
The table value is [tex]\(100\)[/tex]. These values do not match.

Since none of the calculated [tex]\(y\)[/tex]-values match the [tex]\(y\)[/tex]-values provided in the table for the given [tex]\(x\)[/tex]-values, we conclude that the table and the equation do not represent the same function.

Correct answer: No
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