Question

Complete each statement explaining what the slope and the y-intercept tell Jeremy about the trip he's planning.

Select the correct answer from each drop-down menu.
The slope of the line tells Jeremy A) the maximum height the team will climb. B)the steepness of the rock formation. C) The average rate at which people climb the rock formation D) the initial height, where the team starts climbing E) the time it takes the team to climb the rock formation.
The y-intercept of the line tells Jeremy A) maximum height, the team will climb B) the time it takes the team to climb the rock formation C) the initial height where the team starts, climbing D) the steepness of the rock formation, E) the average rate at which people climb the rock formation.

Answer 1

The information from the table can be evaluated graphically to get;

The slope of the line tells Jeremy;

(C) The average rate at which people climb the rock formation

The y-intercept of the line tells Jeremy

(C) The initial height where the team starts, climbing

The information Jeremy obtains from the slope and y-intercept are found as follows;

The coordinate points obtained from the ordered pair of values in the table indicates that there is a strong positive correlation between the height climbed and the duration of climbing

The slope is the change in height to the duration of climbing, therefore, the unit of the slope is; ft/min, which is the unit of the average rate or speed of climbing the rock. Please see the attached graph, created with data from the table using MS Excel. The correct option is therefore, option (C)

The y-intercept on the graph is the coordinates of the point the line of best fit intersects the y-axis, which has a y-coordinate value of height in feet and an x-coordinate value of zero, which indicates that the y-intercept is the initial height when the team starts climbing. The correct option is therefore, option (C)