Question

a family has a family phone plan. the monthly payment for the family plan includes a $70 charge for unlimited talk and text, a $20 line - fee per phone, and a $22.91 equipment fee for each phone. the total monthly bill is $211.64. write an equation to find how many phones x are on the plan. equation: solution: phones are on the plan.

Explanation:

Step1: Set up the cost - equation

Let $x$ be the number of phones. The fixed charge for unlimited talk and text is $70$. The line - fee per phone is $20x$ and the equipment fee per phone is $22.91x$. The total monthly bill is $241.64$. So the equation is $70 + 20x+22.91x=241.64$.

Step2: Combine like - terms

Combining the $x$ terms, we get $70+(20 + 22.91)x=241.64$, which simplifies to $70 + 42.91x=241.64$.

Step3: Isolate the term with $x$

Subtract 70 from both sides of the equation: $42.91x=241.64 - 70$. So $42.91x=171.64$.

Step4: Solve for $x$

Divide both sides by 42.91: $x=\frac{171.64}{42.91}$. Calculating this gives $x = 4$.

Answer:

Equation: $70+20x + 22.91x=241.64$
Solution: 4 phones are on the plan.