a. Every minute 19 meters are traveled.

b. Write an equation to show the relationship between x and y.

c. This relationship is Response area because the y-intercept is Response area

a. In every minute, 19 meters are traveled.

b. The equation to show the relationship between x and y is y = 19x, where x represents the number of minutes and y represents the distance traveled in meters.

c. This relationship is a linear relationship because the y-intercept is 0.

a. The rate of travel is 19 meters per minute.

b. To write the equation, we can use the equation of a straight line in slope-intercept form, which is y = mx + b. In this case, the dependent variable (y) represents the distance traveled, the independent variable (x) represents the time in minutes, and the slope (m) represents the rate of travel. So the equation becomes:

y = 19x + b

c. We don't have enough information to determine the particular response area because the y-intercept (b) is not given. The y-intercept represents the initial distance traveled at the starting time (x=0). Without that value, we cannot determine the response area specifically.