Answer:
That is to say that at 3 months, the values of the club are equal.
Club A = 268 dollars in total
Club B = 295 dollars in total
Step-by-step explanation:
The first thing is to propose an equation for each club. Let m be the number of months.
Club A = 28 + 20 * m
Club B = 19 + 23 * m
Now, to know when it is the same, we must equal the value of Club A with Club B, it would look like this
28 + 20 * m = 19 + 23 * m
By rearranging the equation we have:
23 * m - 20 * m = 28-19
3 * m = 9
m = 3
That is to say that at 3 months, the values of the club are equal.
Now to know the total value, we will do it with an annual membership, which would be a total of 12 months, therefore it is to replace in the equation of each one:
Club A = 28 + 20 * 12 = 268 dollars in total
Club B = 19 + 23 * 12 = 295 dollars in total