To find the missing values in the table, we need to find a pattern in the given data points that will result in a slope of 5/3.
The slope of a function is calculated as the change in y divided by the change in x. In this case, we need to have a change in y of 5 when there is a change in x of 3.
Looking at the first two data points (2,7) and (5,_), we can see that the change in x is 5-2=3. To have a slope of 5/3, the change in y needs to be (5/3) * 3 = 5. Therefore, the missing value in this row is 7 + 5 = 12.
Looking at the second and third rows, we can see that the change in x is 11-5=6. Again, to have a slope of 5/3, the change in y needs to be (5/3) * 6 = 10. Therefore, the missing value in this row is 17 + 10 = 27.
Filling in the blanks, the completed table is:
X Y
2 7
5 12
8 17
11 22
Fill in the blanks such that the function in the table has a slope of 5/3
X Y
2 7
5 Blank
Blank 17
11 22
1 answer
1 answer