a plumber charges $65 for a consultation fee and x dollars for labor per hour.\n• write an equation that…

a plumber charges $65 for a consultation fee and x dollars for labor per hour.\n• write an equation that would represent this situation if it took the plumber 5 hours to fix a problem and the total cost is $240.\n• find the plumbers hourly charge for labor.\na 5x + $65 = $240; x = $35\nb 5x - $65 = $240; x = $61\nc $65 - 5x = $240; x = -$35\nd 5x + $240 = $65; x = $45

a plumber charges $65 for a consultation fee and x dollars for labor per hour.\n• write an equation that would represent this situation if it took the plumber 5 hours to fix a problem and the total cost is $240.\n• find the plumbers hourly charge for labor.\na 5x + $65 = $240; x = $35\nb 5x - $65 = $240; x = $61\nc $65 - 5x = $240; x = -$35\nd 5x + $240 = $65; x = $45

Answer

Explanation:

Step1: Set up the equation

The total cost is the sum of the consultation fee and the labor cost. The consultation fee is $65$, and the labor cost is $5x$ (since labor is $x$ dollars per hour and it took 5 hours). So the equation is $5x + 65=240$.

Step2: Solve the equation for $x$

Subtract 65 from both sides of the equation: $$5x+65 - 65=240 - 65$$ $$5x = 175$$ Divide both sides by 5: $$x=\frac{175}{5}=35$$

Answer:

A. $5x + $65=$240;x = $35$