Fill in the missing number to complete the linear equation that gives the rule for this table. y = x + ?
Understand the Problem
The question asks us to find the missing constant in the linear equation y = x + ?, given a table of x and y values. To solve this, we can substitute any (x, y) pair from the table into the equation and solve for the missing constant.
Answer
84
Answer for screen readers
$84$
Steps to Solve
- Substitute the first pair of values
We are given $y = x + ?$. Using the first pair $(x=1, y=85)$, we get
$85 = 1 + ?$
- Solve for the missing value
Subtract 1 from both sides of the equation:
$85 - 1 = 1 - 1 + ?$
$84 = ?$
So the missing number is 84. 3. Write the complete equation
The complete equation is $y = x + 84$
$84$
More Information
We can confirm that the number is correct by substituting other pairs of values from the table. For $x=2$, we have $y = 2 + 84 = 86$. For $x=3$, we have $y = 3 + 84 = 87$. For $x=4$, we have $y = 4 + 84 = 88$.
Tips
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