A person can pay $36 for a membership to the science museum and then go to the museum for just $18 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $198? Write and solve an equation to find the answer.

The maximum number of visits a member of the science museum can make for a total cost of $198 is 9.

Step-by-step explanation:

From the information given, the total cost of going to the museum would be equal to the price for the membership plus the result of multiplying the price per visit for the number of visits, which would be:

c=36+18x, where:

c is the total cost of going to the museum

x is the number of visits

Now, you can replace the total cost with $198 and solve for x to find the maximum number of visits a member of the science museum can make for that total cost:

198=36+18x

198-36=18x

162=18x

x=162/18

x=9

According to this, the answer is that the maximum number of visits a member of the science museum can make for a total cost of $198 is 9.