Question

The equations below represent the total amount charged, y, by two different plumbers as a function of the number of hours worked, x.
Plumber A:
y=20x+ 60
Plumber B:
y= 40x
The graphs of these functions cross at the point (3, 120). What does the point (3, 120) signify?

Answer 1

Required Answer:-

The coordinates of the point (3 , 120) satisfy both the equation if you replace the respective values of x and y in them. Since it's given in the question that y is the amount charged by the plumbers for the days they worked with correspondence to x i.e. number of hours worked, it's just the answer of the question "After how many hours of work done by both the plumbers to charge the same amount of money(y)".

Hence, If two lines intersects each other at only one point, there is a unique solution. Here it is (3,120). The above question is actually the question of a simple linear equation in two variables$.$

Answer 2

Required Answer:-

The coordinates of the point (3 , 120) satisfy both the equation if you replace the respective values of x and y in them. Since it's given in the question that y is the amount charged by the plumbers for the days they worked with correspondence to x i.e. number of hours worked, it's just the answer of the question "After how many hours of work done by both the plumbers to charge the same amount of money(y)".

Hence, If two lines intersects each other at only one point, there is a unique solution. Here it is (3,120). The above question is actually the question of a simple linear equation in two variables..