How can you find the constant of proportionality for the ratio of price to number of bouquets from the table.

k = 3

Step-by-step explanation:

let price be p and number of bouquets be n

note that p is proportional to n and the equation connecting them is

p = kn ← k is the constant of proportionality

to find k use any of the 4 given values from the table

k =

using p = 18 when n = 6, then

k = = 3

A proportional relation can be written as:

y = k*x

Where k is the constant of proportionality.

Here we will find that our proportional relation is:

y = 3*x

To find the constant of proportionality we need to look at the data in the table:

y = (cost)   x = (number of bouquets)

  9                     3

  18                    6

  27                    9

  36                    12

So we can just take one of these pairs and replace it in a general proportional relation, for example, if we use the first one we get:

9 = k*3

9/3 = k = 3

k = 3

if we use the second pair we get

18 = k*6

18/6 = k = 3

k = 3

And so on, so we can conclude that the constant is k = 3, which means that each bouquet costs 3 of something (the units are not specified),

If you want to learn more, you can read:

link

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

answer: f true

step-by-step explanation: