The cost of tuition at Johnson Community College is $ 160 per credit hour. Each student also has to pay $100 in fees. Write an equation that shows the relationship between the total cost, C, and the number of credit hours taken, x.

160x + 100 = C

To write an equation that shows the relationship between the total cost, C, and the number of credit hours taken, x, you need to consider the cost per credit hour and the additional fees.

The cost per credit hour is $160, which means for each credit hour taken, the cost will be 160x (where x is the number of credit hours).

In addition to the cost per credit hour, each student has to pay $100 in fees. No matter how many credit hours are taken, the fee amount remains constant, so we can add $100 to the cost of credit hours.

Therefore, the equation that represents the relationship between the total cost (C) and the number of credit hours taken (x) is:

C = 160x + 100