Mathematics
06.09.2022 03:15
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The function, f(x)=70n-400, models the profit the instructor of guitar class per

The function, f(x)=70n-400, models the profit the instructor of guitar class per month, where n is the number of students enrolled in the class. how many students must be enrolled in the class for the instructor to make a profit?
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azainababbas
azainababbas
4,5(11 marks)

6 students.

Step-by-step explanation:

We have been given a function f(x)=70n-400 that models  the profit the instructor of guitar class per month, where n is the number of students enrolled in the class.

We can see that 400 represents the amount of fixed expenses to run the guitar class by instructor and 70 represents the amount charged by instructor per student.

To make an profit the amount collected from n students minus the fixed charges must be greater than 0. So we can set up an inequality to solve for n as:

70n-4000

70n-400+4000+400

70n400

Dividing both sides of our inequality by 7- we will get,

\frac{70n}{70}\frac{400}{70}

n5.71428571

Since 0.714 of a students can not be enrolled, so we will round up our answer.

n6

Therefore, 6 students must be enrolled in the class for the instructor to make a profit.

XOsam
XOsam
4,9(95 marks)

1,700\ seconds

Step-by-step explanation:

Observe the graph provided in the exercise.

The y-axis represents the plane's elevation in meters and the x-axis represents the time in seconds.

Notice that at 0 seconds the elevation of the plane is 8,500\ meters. Based on the graph, each 200\ seconds the elevation of the plane decreases 1,000\ meters.

The plane lands when the elevation is 0 meters and this happens when the line shown in the graph intersects the x-axis.

Therefore, the time took the plane to land is:1,700\ seconds

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