Respuesta :
Answer:
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 = [tex]\frac{p}{n}[/tex]
using p = 18 when n = 6, then
k = [tex]\frac{18}{6}[/tex] = 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),
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