Question

A manager measured the number of goods, y, that his company produced in x hours. The company produces goods at a rate of 5 per hour. At hour 9, the company had produced 45 goods. Which equation, in point-slope form, correctly represents the goods produced by the company after x hours?

1) y-45=5(x-9)
2) y-9=5(x-45)
3) y+9=5(x+45)
4) y-45=5(x+9)

Answer 1

The correct equation that represents the goods produced by the company after x hours is y-45=5(x-9).

Step-by-step explanation:

The correct equation that represents the goods produced by the company after x hours is y-45=5(x-9).

To understand why this is the correct equation, you need to identify the y-intercept and the slope. In this case, the y-intercept is 45, since at hour 9, the company had produced 45 goods. The slope is 5, because the company produces goods at a rate of 5 per hour. Using the point-slope form, we can substitute the values into the equation to get y-45=5(x-9).