Jacob and Mark started taking a test at the same time. Jacob finished his test 10 minutes before Mark. Which equation represents the time, j, Jacob spent on the test compared to the time, m, Mark spent on the test?
J = M-10
in minutes
Which group of ordered pairs are on the line given by the equation 5x−2y=6?
Let's assume that the total time for both Jacob and Mark to finish the test is t minutes.
According to the given information, Jacob finished his test 10 minutes before Mark. Therefore, Mark took an additional 10 minutes to complete his test.
Now, let's express the time Jacob spent on the test compared to the time Mark spent on the test:
Jacob's time = Mark's time + 10
So, the equation that represents the time, j, Jacob spent on the test compared to the time, m, Mark spent on the test is:
j = m + 10
To find the equation that represents the time Jacob spent on the test (j) compared to the time Mark spent on the test (m), we can set up the following equation:
j = m - 10
Here's the explanation:
Let's assume that Mark took T minutes to complete the test. Since Jacob finished 10 minutes before Mark, we can say that Jacob took T - 10 minutes to complete the test.
So, the equation j = m - 10 represents the time Jacob spent on the test (j) compared to the time Mark spent on the test (m).