Use the following graph to estimate the rate of change of the function at a = 0.6 using the points (0, 0) and (1, -0.5)
(1 point)
O The rate of change is -2
O . The rate of change is -0.5
O The rate of change is -3
• The rate of change is -1
To estimate the rate of change of the function at a = 0.6 using the points (0, 0) and (1, -0.5), we can calculate the slope of the line passing through these two points. The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
In this case, the change in y is -0.5 - 0 = -0.5 and the change in x is 1 - 0 = 1. Thus, the slope is:
slope = (-0.5) / (1) = -0.5
Therefore, the rate of change of the function at a = 0.6 is -0.5.
Use the following graph to estimate the rate of change of the function at ~ = 0.5 using the points (-1, - 1) and (1, 3)
y
31
2.
-2-
-3-
(1 point)
The rate of change is -0.5
© The rate of change is 2
C The rate of change is 0.5
O The rate of change is -2
To estimate the rate of change of the function at a = 0.5 using the points (-1, -1) and (1, 3), we can calculate the slope of the line passing through these two points. The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
In this case, the change in y is 3 - (-1) = 4 and the change in x is 1 - (-1) = 2. Thus, the slope is:
slope = 4 / 2 = 2
Therefore, the rate of change of the function at a = 0.5 is 2.
The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate
of change of the function at 3 hours using the points (0, 0) and (5, 10
Inches of snow
10
9
co is en as 41 do
1
2 3 4
Time (hours)
(1 point)
O The rate of change is 2 inches per hour
• The rate of change is -0.5 of an inch per hour
O The rate of change is 0.5 of an inch per hour
• The rate of change is -2 inches per hour
To estimate the rate of change of the function at 3 hours using the points (0, 0) and (5, 10), we can calculate the slope of the line passing through these two points. The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
In this case, the change in y is 10 - 0 = 10 and the change in x is 5 - 0 = 5. Thus, the slope is:
slope = 10 / 5 = 2
Therefore, the rate of change of the function at 3 hours is 2 inches per hour.
The tollowing graph shows the average temperatures in degrees Fahrenhen over the days of monin. Use the grapn to esumate the rate of change of the function at the ninth day of the month using the points (2, 55) and (10, 65)
65
A2
Temperature (= FI
임영국 담임음을
53
10 3 3 6 69 8 010
Days
(1 point)
© The rate of change is 1.25 degrees Fahrenheit per day.
© The rate of change is -0.8 degrees Fahrenheit per day.
© The rate of change is -1.25 degrees Fahrenheit per day.
• The rate of change is 0.8 degrees Fahrenheit per day
To estimate the rate of change of the function at the ninth day of the month using the points (2, 55) and (10, 65), we can calculate the slope of the line passing through these two points. The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
In this case, the change in y is 65 - 55 = 10 and the change in x is 10 - 2 = 8. Thus, the slope is:
slope = 10 / 8 = 1.25
Therefore, the rate of change of the function at the ninth day of the month is 1.25 degrees Fahrenheit per day.
Use the graph below to complete the sentence indicating which points would provide the most accurate estimate for the rate of change of the function as it crosses the y-axis.
(1 point)
and
points appears closest to the slope of the function at z= 0
I would provide the most accurate estimation. The slope of the line drawn between these two
: ( 0.5, 2)
(0.5, 3)
* (05.3)
:: (0.5, 1)
The point that appears closest to the slope of the function at x = 0 would provide the most accurate estimate for the rate of change of the function as it crosses the y-axis. In this case, the closest point to x = 0 is (0.5, 2).
To estimate the rate of change of the function at a = 0.6, we need to determine the slope of the line passing through the points (0, 0) and (1, -0.5).
The rate of change (or slope) of a function between two points can be found using the formula:
Slope = (change in y)/(change in x)
In this case, the change in y is (-0.5 - 0) = -0.5 and the change in x is (1 - 0) = 1.
So, the slope (rate of change) is:
Slope = (-0.5)/(1) = -0.5
Therefore, the rate of change of the function at a = 0.6 is approximately -0.5.
The correct answer is:
• The rate of change is -0.5