Suppose you want to use hardwood flooring for most of a 750 square foot apartment. Labor costs are $250 plus a $2 feet per square foot of installation. The cost per square foot of hardwood flooring is $7.00. Write an inequality to show the square feet in the apartment you would have a budget for installing hardwood flooring.Can you explain to me how to take the figures in this question and put them into an inequality? Thank you.
Cost = 250 + 9x, where x is the number of square feet you are going to cover, x ≤ 750
Did you forget to include a maximum amount you wanted to spend?
No. The question does not include a maximum amount.
To create the inequality to show the square footage in the apartment that you would have a budget for installing hardwood flooring, you need to consider the budget constraints given in the question.
Let's break down the costs:
- Labor costs: $250 plus $2 per square foot of installation
- Hardwood flooring cost: $7.00 per square foot
The total cost for installing the hardwood flooring would be the sum of the labor costs and the cost of the hardwood flooring itself.
Given that the square footage of the apartment is "x" square feet, the total cost would be:
Total Cost = Labor Costs + Hardwood Flooring Cost
Labor Costs = $250 + $2x (since the labor costs are $250 plus $2 per square foot)
Hardwood Flooring Cost = $7.00 * x (since the cost per square foot of hardwood flooring is $7.00)
So, the inequality to represent the budget constraint would be:
$250 + $2x + $7.00x ≤ Budget
Note: The "≤" symbol represents "less than or equal to" since the question asks for the square footage for which you would have a budget for installing hardwood flooring.
You can substitute the given budget value into the inequality to determine the maximum square footage that fits within the budget.