The equation that models the cost of renting the house is 150x - y +300 = 0.
<h3>What is a linear equation?</h3>
If an equation is written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b, respectively, being coefficients of x and y, then the equation is said to be a linear equation in two variables.
Let the total cost of renting the house be y.
Let the number of nights be x.
Then the total cost for all nights will be 150x.
Cleaning and service fee = $300
The cost of renting the house = rental per night × no. of nights + clean and service fee
⇒y = 150x + 300
⇒ 150x - y +300 = 0
Therefore, the equation that models the cost of renting the house is 150x - y +300 = 0.
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