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QuestionMathematics

Fill in the table using this function rule. y = 10x + 1 | x | y | | --- | --- | | - 1 | □ | | 0 | □ | | 1 | □ | | 5 | □ | | x | - | 2 | | --- | --- | --- | | | | |
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Step 1:
: To find the value of y when x = - 1, use the given function rule y = 10x + 1.

y = 10(-1) + 1
Substitute x = - 1 into the equation:

Step 2:
: Calculate the value of y:

\begin{aligned}
y &= - 10 + 1 \ &= - 9 \end{aligned}

Step 3:
: To find the value of y when x = 0, use the given function rule y = 10x + 1.

y = 10(0) + 1
Substitute x = 0 into the equation:

Step 4:
: Calculate the value of y:

\begin{aligned}
y &= 0 + 1 \ &= 1 \end{aligned}

Step 5:
: To find the value of y when x = 1, use the given function rule y = 10x + 1.

y = 10(1) + 1
Substitute x = 1 into the equation:

Step 6:
: Calculate the value of y:

\begin{aligned}
y &= 10 + 1 \ &= 11 \end{aligned}

Step 7:
: To find the value of y when x = 5, use the given function rule y = 10x + 1.

y = 10(5) + 1
Substitute x = 5 into the equation:

Step 8:
: Calculate the value of y:

\begin{aligned}
y &= 50 + 1 \ &= 51 \end{aligned}

Final Answer

| x | y | |---|---| | - 1 | - 9 | | 0 | 1 | | 1 | 11 | | 5 | 51 |