Question

CHILCooper, Sha'NiyaScott is constructing a table of values that satisfies the definition of a functionWhich number could be placed in the empty cell so that the table of values satisfies the definition of a function?-1620

Answer 1

let the equation of function is

y = mx + c

so it will satisfy all the points of the table.

(-8, 3)

3 = m(-8) + c

-8m +c = 3 ....(1)

for (-16, 20)

20 = m(-16)+ c

-16m +c = 20 ......(2)

subtract both the equation

-16m -(-8m) + c - c = 20 - 3

-8m + 0 = 17

m = -17/8

now, multiplied equation 1 by 2

-16m + 2c = 6

- 16m + c = 20

subtract the equation,

-16m -(-16m) + c - 2c = 20 - 6

0 - c = 14

c = -14

so the equation is,

y = (-17/8) x - 14

put y = -16

- 16 = (-17/8)x - 14

-16 + 14 = -17/8x

-2 = -17/8x

x = 16/17