Question

Alex is ordering his girlfriend a bouquet of flowers for their anniversary.roses cost $5 each and carnations cost $2 each. He would like to include at least 3 flowers. To stay on budget he must not spend more than $36.

Answer 1

The equations of the function is

Y=2x+ 5y
Y<(less than or equal to) 36
X+y>( greater than or equal to) 3

So to find one variable in the equation such as finding the amount of roses or carnations, you would have to do system of equations. Some ways of using system of equations is to use substitution, elimination, or graphing.

Answer 2

Explanation:

Let x be number of roses and y be the number of carnations.

We have been given that Alex would like to include at least 3 flowers. We can represent this information as:

`x+y\geq 3...(1)`

We are also told that roses cost $5 each and carnations cost $2 each and to stay on budget he must not spend more than $36. We can represent this information as:

`5x+2y\leq 36...(2)`

Therefore, our system of inequalities that will represent the given situation is:

`x+y\geq 3...(1)`

`5x+2y\leq 36...(2)`