Question

Robert pays for his family to go to the arcade. He pays an entrance fee for his group and an additional amount per game that his family plays as shown on the graph. Use the graph to write an equation to represent the relationship between xx, the number of games and yy, the total cost.

Answer 1

An equation that can be written to represent the relationship between xx, the number of games, and yy, the total cost is this: y = mx + c.

How to write the equation

The equation y = mx + c can be used to represent the relationship between x, the number of games, and y, the total cost, as shown in the image. m is the slope of the line, which represents the change in total cost for each additional game played.

c is the y-intercept, which represents the fixed cost associated with going bowling, such as the shoe rental fee.

To find the equation of the line, we can use two points on the graph. For example, we can use the points (3, 18) and (10, 27).