Answer:
Therefore, Miranda can register for at most 3 courses.
Step-by-step explanation:
If x is the number of courses in which Miranda register, the total cost for her tuition will be:
45 + 450x
Because there is a fixed cost of $45 and a cost per course of $450.
Then, this cost should be less than or equal to $1500, so we can write the following inequality:
45 + 450x ≤ 1500
Now, we can solve the inequality for x. Subtract 45 from both sides:
45 + 450x - 45 ≤ 1500 - 45
450x ≤ 1455
Divide both sides by 450:
450x/450 ≤ 1455/450
x ≤ 3.23
Therefore, Miranda can register for at most 3 courses.