Question

The graph shows the charges for a health club in a month. Make a function table for the input-output values. Writes an equation that can be used to find the total charge y for the number of x classes

Answer 1

y =5x+30

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

`35=5(1)+C\\C=30`

Hence equation is

y =5x+30