Question

A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equation best represents the total cost, y, of the backsplash?

Answer 1

The equation to represent the total cost, y, of the tile backsplash is y = 150 + 2.75x, where x is the number of square feet of tile needed and the fixed installation fee is $150.

Step-by-step explanation:

The total cost, y, of the tile backsplash can be calculated by adding the fixed installation fee to the cost of the tile based on its area in square feet. The fixed installation fee is $150.00, and the tile costs $2.75 per square foot. Let the variable x represent the area of the backsplash in square feet.

Based on this information, the equation for finding the total cost is:

y = 150 + 2.75x

Where:

• y is the total cost of the backsplash
• x is the number of square feet of tile required

This equation represents a linear relationship where 150 is the fixed installation fee and 2.75 is the variable cost per square foot of tile.

Answer 2

Answer: y = 150 + 2.75x

Step-by-step explanation:

Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:

y = 150 + 2.75x

where,

x = number of square foot.