1. your yard is a mess, and you decide to hire a landscaper. the garden pros charges a $50 consultation fee…

1. your yard is a mess, and you decide to hire a landscaper. the garden pros charges a $50 consultation fee plus $36 per hour for the actual work. if the total cost is $212, how many hours did the landscapers work?\na. write an equation to represent this situation. clearly indicate what the variable represents.\nb. solve the equation. show all work, and write your answer in a complete sentence. your answer must include correct units of measure.

1. your yard is a mess, and you decide to hire a landscaper. the garden pros charges a $50 consultation fee plus $36 per hour for the actual work. if the total cost is $212, how many hours did the landscapers work?\na. write an equation to represent this situation. clearly indicate what the variable represents.\nb. solve the equation. show all work, and write your answer in a complete sentence. your answer must include correct units of measure.

Answer

Answer:

a. Let $h$ represent the number of hours the landscapers worked. The equation is $50 + 36h=212$. b. The landscapers worked 4.5 hours.

Explanation:

Step1: Isolate the term with the variable

Subtract 50 from both sides of the equation $50 + 36h=212$. $50 + 36h-50=212 - 50$ $36h=162$

Step2: Solve for the variable

Divide both sides of the equation $36h = 162$ by 36. $h=\frac{162}{36}=4.5$