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

`x \geq 4y`

`7.50x+4.75y\leq 125`

`x > 0`

`y > 0`

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`