Question

heather has a family phone - plan. the monthly payment for the family plan includes a $70 charge for unlimited talk and text, a $20 fee per phone, and a $22.91 equipment fee for each phone. their total monthly bill is $231.64. write and solve an equation to find how many phones are on the plan. enter the correct answers in the boxes. equation: equation blank solution: solution blank phones are on the plan.

Explanation:

Step1: Set up the equation

The monthly payment has a fixed - cost of $70$ for unlimited talk - and - text, $20$ per phone, and $22.91$ equipment fee per phone. So the total cost equation is $70+20x + 22.91x=321.64$, where $x$ is the number of phones. Combining like terms, we get $70+(20 + 22.91)x=321.64$, or $70 + 42.91x=321.64$.

Step2: Isolate the variable term

Subtract $70$ from both sides of the equation:
$42.91x=321.64 - 70$.
$42.91x=251.64$.

Step3: Solve for $x$

Divide both sides of the equation by $42.91$:
$x=\frac{251.64}{42.91}=6$.

Answer:

Let $x$ be the number of phones on the plan. The equation is $70 + 20x+22.91x = 321.64$. The number of phones $x = 6$.