Question

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

Answer choices are
12, 17, 10, 14
10, 8, 12, 16

Answer 1

The slope of a function can be determined by finding the difference in the y-values divided by the difference in the x-values between two points.

Using the given table, we can calculate the slope between the points (2,7) and (5,y).

The difference in the y-values is y - 7, and the difference in the x-values is 5 - 2.

So, the slope is (y - 7)/(5 - 2) = (y - 7)/3.

Since the slope is given as 5/3, we can set up the equation (y - 7)/3 = 5/3.

Cross-multiplying, we get y - 7 = 5.

Solving for y, we find y = 12.

Therefore, the missing value in the table is 12.