Jonathan is an interior designer. He is working on a project that requires new carpet in an area that is 567.5 square feet. He has picked out carpet that is $7.98 per square foot. His budget for carpet is $4,250. Is he over or under the budgeted amount? By how much?(1 point)
Responses
He is over the budget by $278.65.
He is over the budget by $278.65.
He is under budget by $278.65.
He is under budget by $278.65.
He is over budget by $378.65.
He is over budget by $378.65.
He is over budget by $288.65.
To calculate the total cost of the carpet, we multiply the area by the price per square foot:
Total cost = area * price per square foot
Total cost = 567.5 * 7.98
Total cost = $4,529.65
Since the budget for carpet is $4,250, Jonathan is over the budget by $4,529.65 - $4,250 = $279.65.
Therefore, the correct response would be:
He is over the budget by $279.65.
To determine if Jonathan is over or under the budgeted amount, we need to calculate the cost of the carpet for the given area.
Step 1: Calculate the total cost of the carpet.
Total cost = cost per square foot * area
Total cost = $7.98/sq ft * 567.5 sq ft
Total cost = $4,529.65
Step 2: Compare the total cost with the budgeted amount.
Budgeted amount = $4,250
Since the total cost ($4,529.65) is higher than the budgeted amount ($4,250), Jonathan is over budget.
Step 3: Calculate the difference between the total cost and the budgeted amount.
Difference = Total cost - Budgeted amount
Difference = $4,529.65 - $4,250
Difference = $279.65
Therefore, Jonathan is over the budget by $279.65.
To determine if Jonathan is over or under his budget, we need to calculate the cost of the carpet he wants to purchase and compare it to his budgeted amount.
First, we need to calculate the cost of the carpet by multiplying the area (567.5 square feet) by the price per square foot ($7.98). This can be done using the formula: Cost of carpet = Area * Price per square foot.
Cost of carpet = 567.5 * 7.98 = $4532.35.
Now, we can compare the cost of the carpet to Jonathan's budget of $4250. If the cost is greater than the budget, he is over the budget. If the cost is less than the budget, he is under the budget.
In this case, the cost of the carpet ($4532.35) is greater than the budget ($4250), so Jonathan is over the budget.
To calculate the amount by which he is over the budget, we subtract the budget from the cost of the carpet:
Amount over budget = Cost of carpet - Budget = $4532.35 - $4250 = $282.35.
Therefore, Jonathan is over the budget by $282.35.