The capital tour company offers five day tours of Ottawa for groups of students. Some of the company’s costs per student go down as the number of students increases. Other costs go up because of room rentals, meals, and the number of vans that are needed. To determine the profit per student, P dollars, the company uses the function p= -0.6n^2 + 36n - 440, where n represents the number of students taking the tour. Determine the least and greatest numbers of students that should be accepted in order for the tour company to make a profit.

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step-by-step explanation:

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9

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: