Question
charlotte wants to buy an in home gym thats 15 percent off. she has to pay 139.95 dollars up front for 6 months for a workout channel
usuing a functon notion, write an expression for the final before-tax cost, f(x) of the purchase based on the initial price, x, if the home gym equipment
usuing a functon notion, write an expression for the final before-tax cost, f(x) of the purchase based on the initial price, x, if the home gym equipment
Answers
GPT-4o mini
To calculate the final before-tax cost \( f(x) \) of the home gym equipment, we need to consider the initial price \( x \) and the discount applied. Since the gym equipment is 15% off, the price after applying the discount can be calculated as follows:
1. Calculate the amount of the discount:
\[
\text{Discount} = 0.15x
\]
2. Subtract the discount from the initial price \( x \):
\[
\text{Price after discount} = x - 0.15x = 0.85x
\]
3. Since Charlotte also has to pay a flat fee of $139.95 for a workout channel upfront for 6 months, we need to add that cost to the discounted price of the gym equipment:
\[
f(x) = 0.85x + 139.95
\]
Thus, the final expression for the before-tax cost \( f(x) \) of the purchase based on the initial price \( x \) is:
\[
f(x) = 0.85x + 139.95
\]
1. Calculate the amount of the discount:
\[
\text{Discount} = 0.15x
\]
2. Subtract the discount from the initial price \( x \):
\[
\text{Price after discount} = x - 0.15x = 0.85x
\]
3. Since Charlotte also has to pay a flat fee of $139.95 for a workout channel upfront for 6 months, we need to add that cost to the discounted price of the gym equipment:
\[
f(x) = 0.85x + 139.95
\]
Thus, the final expression for the before-tax cost \( f(x) \) of the purchase based on the initial price \( x \) is:
\[
f(x) = 0.85x + 139.95
\]