Use the table to answer the question.
x y
2.6 −6
3.2 3
Determine the rate of change of the linear function given as a table of values.
(1 point)
The rate of change can be found by calculating the slope between the two points.
Rate of change = (change in y) / (change in x)
= (3 - (-6)) / (3.2 - 2.6)
= (9) / (0.6)
= 15
So, the rate of change of the linear function given by the table of values is 15.
Find the initial value of the linear function, given that the rate of change is m=−47 , and (14,3) is an (x,y) value of the linear function.(1 point)
Responses
b=11
b equals 11
b=15.71
b equals 15.71
b=12.29
b equals 12.29
b=−5
To find the initial value of the linear function, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Plugging in the values m = -47, x1 = 14, and y1 = 3, we get:
y - 3 = -47(x - 14)
y - 3 = -47x + 658
y = -47x + 661
Thus, the initial value (y-intercept) of the linear function is 661.
Therefore, the correct answer is not provided in the choices given. The correct initial value of the linear function is b=661.
Choose one of the answers I gave u
In this case, the closest answer among the choices provided would be b=12.29.
Therefore, the chosen answer would be:
b=12.29