Question

Ms. Franklin determines that each student’s math midterm score m(x) can be represented as a function of the number of hours x the student studied for the midterm by m(x) = 6x + 40. The maximum score on the midterm is 100.What is the value of x?

Answer 1

To achieve the maximum math midterm score of 100 according to Ms. Franklin's function m(x) = 6x + 40, a student must study for 10 hours.

Step-by-step explanation:

The value of x that represents the maximum math midterm score of 100 can be found by setting the function m(x) = 6x + 40 equal to 100 and solving for x. By substituting the maximum score into the equation, we have 100 = 6x + 40. To isolate x, we subtract 40 from both sides, which gives us 60 = 6x. Finally, we divide both sides by 6 to solve for x, which results in x = 10. Thus, a student needs to study for 10 hours to achieve the maximum score on the midterm according to Ms. Franklin's function.