The equation showing the relationship between the number of days and cost of the trip is y = 25x.
The formula of a linear function is:
y = mx + b;
where y,x are variables, m is the slope of the line and b is the y intercept (value of y when x is 0)
Let x represent the length of trip and y represent the amount of money.
From the table, taking two pair of points: (3, 75) and (6, 150), the equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-75=\frac{150-75}{6-3}(x-3) \\\\y-75=25(x-3)\\\\y=25x[/tex]
Hence the equation showing the relationship between the number of days and cost of the trip is y = 25x.
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