A cell phone company charges a shipping fee of 7% of the purchase cost, p. If the total cost of shipping is calculated to be $30.25, what is the
purchase cost of the cell phone?
Let's assume that the purchase cost of the cell phone is p.
So the shipping fee is 7% of the purchase cost, which is 0.07p.
According to the given information, the total cost of shipping is $30.25.
Therefore, we can write the equation: 0.07p = $30.25.
To find the purchase cost of the cell phone, we need to isolate p on one side of the equation.
Divide both sides of the equation by 0.07:
p = $30.25 / 0.07.
p ≈ $432.14.
Therefore, the purchase cost of the cell phone is approximately $432.14.