Miranda's financial aid stipulates that her tution not exceed $1500. If her college charges a $45 registration fee plus $ 425 per course4, what is the greatest number of courses for which Miranda can register?
From your data, with x = number of courses:
45 + 425x < 1500
Solve for x, rounding to smaller whole number.
To find the greatest number of courses for which Miranda can register, we need to determine the maximum number of courses that can be covered within the stipulated tuition limit of $1500.
First, let's find the tuition cost for one course. Each course costs $425.
Next, we need to find the total cost of tuition for the maximum number of courses. Let's assume Miranda registers for the maximum number of courses as 'n'. Therefore, the total cost of tuition will be n multiplied by the cost per course, which is $425.
To ensure the tuition does not exceed $1500, we can set up an inequality:
n * 425 ≤ 1500
Now, we can solve this inequality to find the maximum value for 'n':
n ≤ 1500 / 425
n ≤ 3.53
Since we can only register for whole courses, the maximum number of courses Miranda can register for is 3.
Therefore, Miranda can register for a maximum of 3 courses to ensure her tuition does not exceed $1500.