Question

abigail is ordering a flower arrangement with roses and carnations. she doesnt want to spend more than $45 on the arrangement. roses cost $4 each and carnations cost $1 each. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of roses y = the number of carnations 4 + x + 1 + y < 45 4 + x + 1 + y ≤ 45 4x + y < 45 4x + y ≤ 45

Explanation:

Step1: Calculate the cost of roses and carnations

The cost of \(x\) roses is \(4x\) dollars (since each rose costs \(4\) dollars), and the cost of \(y\) carnations is \(y\) dollars (since each carnation costs \(1\) dollar). The total cost of the flower arrangement is \(4x + y\) dollars.

Step2: Consider the spending limit

Abigail doesn't want to spend more than \(45\) dollars. The phrase "doesn't want to spend more than" means the total cost \(4x + y\) can be equal to \(45\) or less than \(45\). So the inequality is \(4x + y\leq45\).

Answer:

\(4x + y\leq45\)