Jacobi knits 0.3 of a row of a scarf per minute. He keeps track of the number of rows he has completed, r, after m minutes.
The equation that models this situation is given below.
Jacobi shows the relationship between the number of completed rows and the number of minutes spent knitting in the table.
Minutes Completed Rows
18
180
72
360
Find the missing numbers in the table and use them to graph the four points in the table that represent the relationship. between the number of completed rows and the number of minutes Jacobi spent knitting.
Using the given equation:
r = 0.3m
We can fill in the missing values in the table:
Minutes Completed Rows
18 5.4
180 54
72 21.6
360 108
To graph the four points, we plot the minutes on the x-axis and the completed rows on the y-axis.
The graph should look like this:
graph{y=0.3x [0, 400, 0, 120]}
Note that the x-axis should go up to 400 because that is the largest value of minutes given in the table.
To find the missing numbers in the table, we need to use the equation given in the problem: r = 0.3m.
Let's substitute the given values of m (minutes) into the equation to find the corresponding values of r (completed rows):
For m = 18:
r = 0.3 * 18 = 5.4
For m = 180:
r = 0.3 * 180 = 54
For m = 72:
r = 0.3 * 72 = 21.6
For m = 360:
r = 0.3 * 360 = 108
Now, we have the missing numbers in the table:
Minutes Completed Rows
18 5.4
180 54
72 21.6
360 108
To graph these points on a coordinate plane, plot the minutes on the x-axis and the completed rows on the y-axis. Each point represents the relationship between the number of completed rows and the number of minutes Jacobi spent knitting.
To find the missing numbers in the table, we can use the given equation that models the relationship between completed rows and the number of minutes spent knitting. The equation is:
r = 0.3m
Using this equation, we can find the missing values for completed rows for the given minutes:
For 18 minutes:
r = 0.3 * 18 = 5.4
For 180 minutes:
r = 0.3 * 180 = 54
For 72 minutes:
r = 0.3 * 72 = 21.6
For 360 minutes:
r = 0.3 * 360 = 108
The completed rows for the given minutes are:
Minutes Completed Rows
18 5.4
180 54
72 21.6
360 108
We can now graph these four points on a coordinate plane, with the x-axis representing the number of minutes and the y-axis representing the number of completed rows.