The two variables are the x and y in hours and dollars respectively
the correct equation is y = 1.25x
Melissa charges $1.25 an hour per to pet sit
Explanation:
Using the given table and the graph:
The two variables are the x and y in hours and dollars respectively
To get the correct equation, we need to find the slope of the graph
slope = change in y/change in x
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
Using any two points: (1, 1.25) and (2, 2.5)
slope = (2.5 - 1.25)/ (2-1) = 1.25/1
slope = 1.25
Since the graph starts from the origin, ther will be no intercept.
Equation of line: y = mx + c
y = 1.25x + 0
Hence, the correct equation is y = 1.25x
When x = 1 hour
The cost per pet sitting is $1.25
Hence, Melissa charges $1.25 an hour per to pet sit
