Answer:
y = 35.5x - 10
Step-by-step explanation:
If we graph the function with the help of the given table,
Since, there is a common difference in each term of 'cost of gym membership'
d = 61 - 25.5 = 35.5
d = 96.5 - 61 = 35.5
Graph will represent a linear function.
Let the equation of the line is,
y - y' = m(x - x')
where (x', y') is a point lying on the graph and 'm' is the slope.
Two points lying on the graph are (1, 25.5) and (2, 61).
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{61-25.5}{2-1}[/tex]
= 35.5
Equation of the line passing through (1, 25.5) having slope 'm' = 35.5
y - 25.5 = 35.5(x - 1)
y = 35.5x - 35.5 + 25.5
y = 35.5x - 10
Here x = duration of membership
y = membership price
Therefore, equation representing Fit Zoom's membership price equation will be,
y = 35.5x - 10
