Answer: The maximum number of visits a member of the science museum can make for a total cost of $41 is 5
Explanation:
Let x represent the number of visits a member of the science museum can make.
Let y represent total cost of x visits.
A person can pay $6 for a membership to the science museum and then go to the museum for just $7 per visit. This means that for x visits, the amount paid will be
y = 7x + 6
For a for a total cost of $41, it means y = 41, therefore,
41 = 7x + 6
7x = 41 - 6 = 35
x = 35/7
x = 5