Oliver is going to send some flowers to his wife. fairfax florist charges $1 per rose, plus $33 for the vase. amy's flowers, in contrast, charges $2 per rose and $21 for the vase. if oliver orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. how many roses would there be? what would the total cost be?

12 flowers

cost is $45

Step-by-step explanation:

Set up a system of equations and set them equal to each other.

F = 33 + x

A = 21 + 2x

33 + x = 21 + 2x

move numbers to one side and x's to the other side to solve for x = 12

Put 12 back in each equation to get the cost.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

pi x^2

step-by-step explanation:

pi times x squared