Question

A dance team has two competitions on the same day. The coaches decide to split the 96-member team, sending some to each competition. Competition A requires four-member dance teams per event and Competition B requires six-member dance teams per event. The equation 4x + 6y = 96 models this situation, where x is the number of four-member teams and y is the number of six-member teams. Graph the equation. Interpret the intercepts

Answer 1

see attached

Explanation:

intercept on Y is when x=0, y = 16 so if no one goes to competition A, they'll have 16 six-member teams

intercept on x is when y=0, x=24 so if no one goes to competition B, they'll have 24 four-member teams