the maximum number of visits a member of the science museum can make for a total cost of $46 is 37 visits
Step-by-step explanation:
Payment for membership = $9
Payment per visit = $1
Let the number of visits = y
Total cost after a visit:
$9 + $1(x)
For a total cost = $46
Since we want to obtain the maximum number of visits, it means the total cost cannot exceed $46. we have ≤ 46
The equation of the situation:
$9 + $1(x) ≤ 46
9 + 1(x) ≤ 46
9 + x ≤ 46
collect like terms:
x ≤ 46 - 9
x ≤ 37
It means the maximum number cannot exceed 37
Hence, the maximum number of visits a member of the science museum can make for a total cost of $46 is 37 visits