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.
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)
5 answers
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
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.
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
Therefore, the chosen answer would be:
b=12.29