Question

a plumber charges a base fee of $55 for a service call plus $35 per hour for each hour worked during the service call the relationship between the total price of the service called and the number of hours worked

Answer 1

The relationship between the total price and the number of hours worked can be represented by a linear equation. The equation is y = 35x + 55, where y represents the total price and x represents the number of hours worked.

Step-by-step explanation:

The relationship between the total price of the service call and the number of hours worked can be represented by a linear equation. We can use the formula y = mx + b, where y represents the total price, x represents the number of hours worked, m represents the hourly fee, and b represents the base fee.

In this case, the plumber charges a base fee of $55 and $35 per hour. So the equation that expresses the total price is y = 35x + 55.

The independent variable in this situation is the number of hours worked, which is x. The dependent variable is the total price, which is y. The y-intercept of the equation is 55, which represents the base fee. The slope of the equation is 35, which represents the hourly fee. The y-intercept (b) is the point where the line intersects the y-axis, and the slope (m) determines how steep the line is.

Answer 2

If you want to turn this into an equation, use the equation y = mx + b
m = slope or rate of change
b = y-intercept, or your starting value

y = 35x + 55