Question

Fatima bought a new house and wanted new grass installed in her yard. Each pallet of grass costs $129.95. The cost for delivery is $76.20. Write an equation showing the relationship between y, the total cost of grass installation and x, each pallet of grass

Answer 1

The linear equation for the total cost of grass installation with respect to the number of pallets is y = 129.95x + 76.20, where y is the total cost, x is the number of pallets, $129.95 is the cost per pallet, and $76.20 is the fixed delivery cost.

Step-by-step explanation:

To solve the question regarding the total cost (y) of grass installation given the cost of each pallet of grass (x), we need to write a linear equation. The cost for each pallet is $129.95, and the delivery cost is a flat $76.20. Therefore, the equation is y = 129.95x + 76.20.

In this equation, x is the independent variable representing the number of pallets of grass, and y is the dependent variable representing the total cost. The y-intercept, in this case, is $76.20, which is the cost of delivery, and it represents the starting value of y when x (the number of pallets) is zero. The slope is $129.95, which indicates the cost for each additional pallet of grass.