Which equation below and solution for X does the model represent??
2 answers:
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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.
For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
: It is a point through which the line passes
m: It's the slope
We have according to the graph, that the line goes through:
We found the slope:
Thus, the line is of the form:
We substitute a point:
Answer: