12.9k views
5 votes
The regular price of any souvenir at a gift shop is x dollars. During a sale today, if a customer purchases one souvenir at its regular price, the price of each additional souvenir will be 0:3x less than the regular price.Write an equation that gives the total amount a customer pays today if the price of one souvenir is x dollars, and y represents the number of souvenirs they buy.

User Tau
by
7.1k points

1 Answer

3 votes

Answer:

Total amount = 0.3x + 0.7xy

Explanation:

If the price of one souvenir is x dollars and a customer buys y souvenirs in total, then they pay for the first souvenir at the regular price, and for each additional souvenir, they pay the regular price minus 0.3x. Therefore, the equation for the total amount paid can be written as:

Total amount = x + (y-1)(x-0.3x)

Simplifying this expression, we get:

Total amount = x + (y-1)(0.7x)

Total amount = x + 0.7xy - 0.7x

Total amount = x(1 + 0.7y - 0.7)

Total amount = 0.3x + 0.7xy

Therefore, the equation that gives the total amount a customer pays today if the price of one souvenir is x dollars, and y represents the number of souvenirs they buy is:

Total amount = 0.3x + 0.7xy

User Hoang Subin
by
7.6k points