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.
I believe the correct answer is 6.3
<span>The
domain represents the A. horizontal distance covered by the flying disc. We see that x goes from x = 0 to x = 30, which the problem gives as the horizontal distance.
The range of this
function is B. 0, A. 7. The range is defined by the minimum y-value (y = 0, at x = 30), and the maximum y-value (y = 7, at x = 12).
For this function, the
range represents the flying disc's A. possible heights. This is the height as mentioned in the given, as it is the height of the disc being modelled on the graph as the disc travels horizontally.</span>
Answer:
40%
Step-by-step explanation:
20 out of 50 simplifies to 2 out of 5 which is equivalent to 4 out of 10 which is also 40 out of 100 which is 40%.
Answer:
Good you know your answer. You really seems to be a good guy.