Function 1Y equals 4X plus 5 function 2 the line passing through the points (1, 6)and (3, 10) which of these functions has the. Greater rate of change
Function 1 has a rate of change of 4, meaning that for every increase of 1 in the x-value, the y-value increases by 4.
Function 2 has a rate of change of (10-6)/(3-1) = 2, meaning that for every increase of 1 in the x-value, the y-value increases by 2.
Therefore, function 1 has a greater rate of change than function 2.
To determine which function has the greater rate of change, we need to compare the slopes of the two lines.
Function 1: y = 4x + 5
In this case, the slope is 4.
Function 2: The line passing through the points (1, 6) and (3, 10)
To find the slope of this line, we can use the formula:
slope = (change in y) / (change in x)
Using the given points:
change in y = 10 - 6 = 4
change in x = 3 - 1 = 2
Slope of Function 2 = 4/2 = 2
Comparing the slopes, we see that Function 1 has a slope of 4, while Function 2 has a slope of 2. Therefore, Function 1 has the greater rate of change.