Assume that r varies directly as p. what is the constant of proportionality if r = 3 when p = 15. k = 5 k = 1/5 k = 3 k = 45

The correct answer is k=1/5

Step-by-step explanation:

Given the expression " r varies directly as p", we need to find an equation that describes the relationship between both variables. First, we have that r varies as p varies, so r is the dependent variable and p is the independent variable. So

r = k x p ⇒ replacing with the given values (r =3 when p =15)

3 = k x 15 ⇒ 3/15 = k ⇒ 1/5 = k.

Then the constant of proportionality is k = 1/5.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

bull

step-by-step explanation: