Answer:
Option A is correct.
Change in the y-values is 40 and the change in x-values is 1.
Step-by-step explanation:
Let x represents the time in minutes and y represents the temperature(in Fahrenheit).
Given two points on the line graph i.e,
[tex]A(x_1, y_1)= (2 , 150)[/tex] and [tex]B (x_2, y_2)= (3, 190)[/tex]
we have to find the change in the y-value and x-value on the graph:
Change in the x-values for the given points is;
[tex](x_2 - x_1)[/tex] = 3 - 2 = 1
Similarly,
Change in the y-values for the given points is;
[tex](y_2 - y_1)[/tex] = 190-150 =40.
Since, the slope or the rate of change of the given line graph is the ratio of the change in the y-value over the change in the x-value i.e, slope = 40.
Therefore, change in the y-values is 40 and the change in x-values is 1.