Avery is ordering a flower arrangement with roses and Carnation she doesn't want to spend more than $31 on their Arrangement roses cost $5 each incarnations cost a dollar each write the enactuality and standard form that describes the situation

1 answer

Let's assign variables to the quantities we need to find. Let "x" represent the number of roses and "y" represent the number of carnations.

The cost of a rose is $5, and the cost of a carnation is $1. The total cost of the arrangement is $31. We can set up the following equations based on the given information:

1) The cost equation: 5x + y = 31 (since x roses cost $5 each and y carnations cost $1 each, the total cost is $31)

2) The constraint equation: y ≥ 0 (Avery wants a positive or zero number of carnations in the arrangement)

The actuality form is:

The number of roses: x
The number of carnations: y
Total cost: $31

The standard form is:

5x + y = 31 (the cost equation)
y ≥ 0 (the constraint equation)