Final answer:
To find the x value when y = 300 using the equation y = 9 + 3x, you substitute 300 for y, then solve for x resulting in x = 97.
Step-by-step explanation:
To find the x value when y = 300, we will use the equation y = 9 + 3x. This equation represents a line on a graph where 9 is the y-intercept (the value of y when x is 0) and 3 is the slope (the change in y for each unit change in x).
Here is the step-by-step process to solve for x:
- Start with the equation y = 9 + 3x.
- Substitute the known y-value into the equation: 300 = 9 + 3x.
- Now, subtract 9 from both sides of the equation to isolate the term with x: 300 - 9 = 3x, which simplifies to 291 = 3x.
- Finally, divide both sides by 3 to find the value of x: 291 / 3 = x, which simplifies to x = 97.
Therefore, when y = 300, the corresponding x value is 97.