Question

Henrietta is planting a new flower garden she must have yellow and red rose bushes let X represent the number of yellow rose bushes and Y represent the number of red rose bushes she wants at least four times as many yellow rose bushes as red rose bushes each yellow rosebush cost $7.50 and each red rose bush cost $4.75 she can spend no more than $125 select all the restraints for this situation

Answer 1

Answer:

$x \geq 4y$

$7.50x+4.75y\leq 125$

$x > 0$

$y > 0$

Step-by-step explanation:

Let

x -----> the number of yellow rose bushes

y -----> the number of red rose bushes

we know that

At least means "greater than or equal to"

$x \geq 4y$ ----> inequality A

$7.50x+4.75y\leq 125$ -----> inequality B

additionally

The number of roses cannot be a negative number

so

$x > 0$ ----> inequality C

$y > 0$ ----> inequality D

therefore

The restraints are

$x \geq 4y$

$7.50x+4.75y\leq 125$

$x > 0$

$y > 0$