The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?
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;
![30x+b=150 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=30x%2Bb%3D150%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%201)
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;
![70x+b=270 \ \ \ \ equation \ 2](https://tex.z-dn.net/?f=70x%2Bb%3D270%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%202)
Now we will subtract equation 1 from equation 2 we get;
![70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120](https://tex.z-dn.net/?f=70x%2Bb-%2830x%2Bb%29%3D270-150%5C%5C%5C%5C70x%2Bb-30x-b%3D120%5C%5C%5C%5C40x%3D120)
Dividing both side by 40 we get;
![\frac{40x}{40}=\frac{120}{40}\\\\x=\$3](https://tex.z-dn.net/?f=%5Cfrac%7B40x%7D%7B40%7D%3D%5Cfrac%7B120%7D%7B40%7D%5C%5C%5C%5Cx%3D%5C%243)
Now we will substitute the value of x in equation 1 we get;
![30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60](https://tex.z-dn.net/?f=30x%2Bb%3D150%5C%5C%5C%5C30%5Ctimes3%2Bb%3D150%5C%5C%5C%5C90%2Bb%3D150%5C%5C%5C%5Cb%3D150-90%20%3D%5C%2460)
So we can say that the equation can be written as;
![y =3x+60](https://tex.z-dn.net/?f=y%20%3D3x%2B60)
Hence we can say that fixed rate is $60 and per student charge is $3.
Answer:
D
Step-by-step explanation: