Let's fill in the blanks step by step.
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The starting value in the equation \(y = mx + b\) is represented by the variable \(b\) (the y-intercept). Therefore, for blank 1, the correct option is:
- C b
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The phrase "y is 10 more than 6 multiplied by x" translates into the equation \(y = 6x + 10\). Therefore, for blank 2, the correct option is:
- C y = 6x + 10
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In the equation \(y = 2x + 3\), the starting value (or the y-intercept \(b\)) is 3. Therefore, for blank 3, the correct answer is:
- 3
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For the third equation you provided, \(y = 6x + 10\), the starting value (or the y-intercept \(b\)) is 10. Therefore, for blank 4, the correct answer is:
- 10
Putting it all together, the completed table would look like this:
| | Equation | b | |-------------------|-----------------------------|-----| | blank 1 | | | | | "y is 40 more than 5 times x" | | | | "y is 3 more than twice the value of x" | | | | "y is 10 more than 6 multiplied by x" | | | | Equation: \(y = 5x + 40\) | \(b = 40\) | | | Equation: \(y = 2x + 3\) | \(b = 3\) | | blank 2 | Equation: \(y = 6x + 10\) | \(b = 10\) |