Miranda’s financial aid stipulates that her tuition not exceed $1500. If her college charges a $90 registration fee for the term plus &475 per course, what is the greatest number of courses for which Miranda can register?
90 + 475x ≤ 1500
x ≤ 2.97
so only 2 courses
To find the greatest number of courses for which Miranda can register, we need to determine the total cost of registering for the courses.
The cost of registration per course is $475, and Miranda needs to pay a $90 registration fee for the term. Therefore, the total cost per course is $475 + $90 = $565.
Since Miranda's financial aid stipulates that her tuition should not exceed $1500, we can form the following inequality:
Number of courses * Total cost per course ≤ Maximum tuition amount
Let x be the number of courses Miranda can register for.
Therefore, the inequality becomes:
x * $565 ≤ $1500
Now we can solve the inequality to find the maximum value of x:
x ≤ $1500 / $565
x ≤ 2.65 (rounded to 2 decimal places)
Since we cannot have a fraction of a course, the greatest number of courses Miranda can register for is 2 courses.
To find the greatest number of courses for which Miranda can register within her financial aid stipulation, we need to ensure that the total cost of tuition (including the registration fee and fees per course) does not exceed $1500.
Let's break down the total cost of tuition:
Registration fee for the term: $90
Cost per course: $475
Let's assume the number of courses Miranda can register for is represented by 'x'. Therefore, the total cost of tuition can be calculated as:
Total cost of tuition = Registration fee + (Cost per course * Number of courses)
We can write this equation as follows:
Total cost of tuition = $90 + ($475 * x)
Now, we should set an inequality to represent the financial aid stipulated:
Total cost of tuition ≤ $1500
Substituting the equation for total cost of tuition, we have:
$90 + ($475 * x) ≤ $1500
To solve for 'x', we can subtract $90 from both sides of the inequality:
$475 * x ≤ $1500 - $90
$475 * x ≤ $1410
Now, divide both sides of the inequality by $475 to isolate 'x':
x ≤ $1410 / $475
x ≤ 2.97
Since the number of courses cannot be fractional, we round down to the nearest whole number:
x ≤ 2
Therefore, Miranda can register for a maximum of 2 courses while staying within her financial aid stipulation.