A lawn care company charges a $10 trip fee plus $0.15 per square foot of x square feet of lawn for fertilization. Which equation represents the relationship?
Let's assume the total cost of fertilization for a lawn with x square feet is represented by C.
According to the statement, the company charges a $10 trip fee, regardless of the size of the lawn. This implies that the cost of fertilization will always be at least $10.
Additionally, the company charges an additional $0.15 per square foot. This implies that for every square foot of lawn, an extra $0.15 is added to the cost.
Therefore, the equation representing the relationship between the total cost C and the square footage x is:
C = 10 + 0.15x
The equation that represents the relationship is:
Total Cost = $10 + $0.15 * x
Where:
- Total Cost is the cost of the service
- $10 is the trip fee
- $0.15 is the cost per square foot
- x is the number of square feet of lawn
To represent the relationship between the trip fee, the cost per square foot, and the total cost, we can use the equation:
Total Cost = Trip Fee + (Cost per Square Foot * Square Feet)
In this scenario, the trip fee is a fixed $10, and the cost per square foot is $0.15. The square footage is represented by the variable x.
Therefore, the equation that represents the relationship is:
Total Cost = $10 + ($0.15 * x)