The cost of tuition at Johnson Community College is $190 per credit hour. Each student also has to pay $60 in fees. Write a linear equation model for this situation. Use C for the cost and x for the number of credit hours.
c = 190x+60
To write a linear equation model for this situation, we need to consider two components: the cost per credit hour and the additional fees. Let's break it down step by step:
1. The cost per credit hour at Johnson Community College is $190. This means that for every credit hour taken, the cost increases by $190. We can represent this using the equation:
Cost per credit hour = $190
However, we need to express the total cost, not just the cost per credit hour. To do this, we multiply the cost per credit hour by the number of credit hours, x:
Cost per credit hour * Number of credit hours = $190x
2. Each student also has to pay an additional $60 in fees. This is a fixed cost that does not depend on the number of credit hours. We can add this fixed cost to the equation:
Cost per credit hour * Number of credit hours + Additional fees = $190x + $60
3. Lastly, let's substitute a variable for the total cost to make the equation more compact. We'll use C to represent the total cost:
C = $190x + $60
Therefore, the linear equation model for this situation is:
C = $190x + $60