Answer:
y =5x+30
Step-by-step explanation:
Given is a table showing the charges for a health club in a month.
The function table for the input output values are shown in the table with y for output and x for input
On analysing the table we find that for 1 increase in input there is 5 increase in output.
This implies that slope of the function is constant hence x and y are connected by a linear relationship, i.e. a straight line.
Since slope is 5 we get y = 5x+C
To find C substitute any value from the table say x=1
[tex]35=5(1)+C\\C=30[/tex]
Hence equation is
y =5x+30
