Question

A games club has 50 members but is losing 3 members each year. A sports club has 15 members and is gaining 2 members per year. Use x for the number of years. Complete the equation to show when the two clubs will have the same number of members. 50 - 3x represents the games club. What expression would represent the sports club?

A. 15 + 2x
B. 15 - 2x
C. 15 + 3x
D. 15 - 3x

Answer 1

The correct expression for the sports club which gains 2 members each year is 15 + 2x, which, when set equal to the games club's expression of 50 - 3x, can solve for when both clubs will have the same number of members.

Step-by-step explanation:

To represent the sports club that starts with 15 members and gains 2 each year, the expression would be 15 + 2x, where 'x' represents the number of years.

The games club is losing members, represented by the equation 50 - 3x. If we want to determine when both clubs will have the same number of members, we should set these two expressions equal to each other.

Therefore, the expression for the sports club is A. 15 + 2x, which can be set equal to the expression for the games club to solve for 'x', the number of years until the clubs have the same number of members.