Question

The badminton club is hosting a car wash fundraiser. The club has to pay $50 to the business owner for the use of the site for the car wash. The club charges $8 to wash each vehicle. Which linear equation represents the club's earnings, (y), after a given number of cars, (x)?

Answer 1

The linear equation representing the badminton club's earnings after washing a given number of cars is y = 8x - 50, where 'y' is the earnings and 'x' is the number of cars washed.

Step-by-step explanation:

To determine the badminton club's earnings, (y), after washing a given number of cars, (x), we can use a linear equation. The club pays a fixed cost of $50 for the use of the site, which is the y-intercept in our equation, because it's the cost before washing any cars (when x = 0). Each car is washed for a fee of $8, which represents the slope of our linear equation because it's the rate at which earnings increase with each additional car washed.

The linear equation that represents the club's earnings (y) after washing a given number of cars (x) is:

y = 8x - 50

Here, -50 is the y-intercept which reflects the initial cost, and 8 is the slope which indicates the earnings per car washed.