cost of college tuition algebra 2

Question

Marissa is going back to school to get her teaching certificate. She needs 12 additional credits to obtain certification and plans to attend one of the two local colleges. City colleges costs $70 per credit plus $150 one time registration fee, while state college costs $95 per credit and has no registration fee. Suppose both colleges allow a student to take up to 18 credits. Over what range/interval of credits does city college cost more than state college? Over what range/interval of credits does city college cost less than state college?

Answer 1

x=# of credits

70x+150>95x

150>95x-70x

150>25x

25x<150

x<150/25

x<6 credits  (city college costs more)

x>6 credits  (city college costs less)

example: 5 credits

70*5+150>95*5

350+150>475

500>475

example: 7 credits

70*7+150<95*7

490+150<665

640<665