Question

a plumber charges $130 to start a job plus $56 per hour. how many hours did she work if the total bill is $214? this problem can be modeled with this equation: 130 + 56x = 214. variable term? apply the subtraction property of equality. which value do you need to subtract? 130 step 2: which operation should be performed to make the coefficient of x equal to 1? apply the division property of equality. step 3: which statement expresses the answer in the context of the problem? the plumber earned $1.50. the plumber worked 1.5 hours. check 130+56x = 214 -130 -130 +56x = 84 ÷ 56 ÷ 56 x = 1.5

Explanation:

The problem is about interpreting the solution of an equation in the context of a plumber's work hours. The equation \(130 + 56x = 214\) is solved to find \(x\) (hours worked). The solution \(x = 1.5\) represents the hours the plumber worked, not earnings. So the correct statement is "The plumber worked 1.5 hours."

Answer:

The plumber worked 1.5 hours.