Question

At his college, Jason can take a maximum of 21 hours each semester between elective classes and core classes. Each elective class costs $225 per semester hour and each core class costs $275 per semester hour.If he cannot spend more than $6,000 each semester on classes, which system of inequalities below can be used to determine the number of elective classes, e, and the number of core classes, c, he can take each semester?A.e + c < 21$225e + $275c > $6,000B.e + c < 21$225e + $275c < $6,000C.e + c > 21$225e + $275c > $6,000D.e + c < 21

Answer 1

Answer: e + c ≤ 21, 225e + 275c ≤ 6000

Step-by-step explanation:

Maximum of 21 hours each semester between elective classes and core classes, the required inequality is:

e + c ≤ 21

Each elective class cost $225 per semester hour and each core class costs $275, the sum is 225e + 275c.

He cannot spend more than $6,000, the required inequality is:

225e + 275c ≤ 6000