Question

At Clean Cut Manufacturing, Jethro made a graph representing the number of riding lawn mowers manufactured, y, based on the number of hours the assembly line is operating, x. The graph is a straight line that passes through the origin and the point (1, 13). Which of the following graphs and statements fit the situation? The assembly line manufactures 13 riding lawn mowers per hour of operation. The slope of the graph is 1. The y-intercept of the graph is 13. It takes 13 hours of operation for the assembly line to manufacture each riding lawn mower.

Answer 1

The slope of the graph is 13 and the y-intercept is 0.

Step-by-step explanation:

The graph represents the number of riding lawn mowers manufactured based on the number of hours the assembly line is operating. The graph is a straight line that passes through the origin and the point (1, 13).

The slope of the graph can be determined using the formula: slope = (change in y) / (change in x). In this case, the change in y is 13 - 0 = 13 and the change in x is 1 - 0 = 1. Therefore, the slope is 13 / 1 = 13.

The y-intercept of the graph can be found by substituting the x and y coordinates of a known point on the line into the equation of a straight line y = mx + b, where m is the slope and b is the y-intercept. Using the point (1, 13), we have 13 = 13(1) + b, which gives b = 0.

Therefore, the correct statement is: The y-intercept of the graph is 0.

Answer 2

The assembly line manufactures 13 riding lawn mowers per hour of operation. And the graph that the line is vertical but slightly tilted.

Step-by-step explanation: