Fill in the blanks such that the function in the table has a slope of 5/3

Question

X Y
2 7
5 Blank
Blank 17
11 22

Answer 1

To find the missing values that would give the function a slope of 5/3, we need to use the slope formula:

slope = (change in y) / (change in x)

For the first blank, we can use the given slope and the coordinates (2, 7) to find the missing y-value.

(5/3) = (change in y) / (change in x)
(5/3) = (y - 7) / (5 - 2)

Cross-multiplying, we get:

5(5 - 2) = 3(y - 7)
15 = 3(y - 7)
15 = 3y - 21
36 = 3y
y = 12

So the missing y-value for x = 5 is 12.

For the second blank, we can use the given slope and the coordinates (11, 22) to find the missing y-value.

(5/3) = (change in y) / (change in x)
(5/3) = (22 - y) / (11 - blank)

We don't know the x-value where this point is located, so we can't determine the "change in x". We need more information to proceed with finding the missing y-value.