Answer:
Step-by-step explanation:
So we have the function:
To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:
Add 9 to both sides:
Take the natural log of both sides:
The right side cancels:
Divide both sides by 6:
And we're done!
Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
Now we will subtract equation 1 from equation 2 we get;
Dividing both side by 40 we get;
Now we will substitute the value of x in equation 1 we get;
So we can say that the equation can be written as;
Hence we can say that fixed rate is $60 and per student charge is $3.