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lubasha [3.4K]
2 years ago
13

Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The functio

n f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

Step-by-step explanation:

Key points:

  • Discount is subtracted from the regular price of an item.
  • Sales tax is added to the regular price of an item.

It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount

g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.

Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

       = 0.90 × 1.07 × <em>x</em>

       = 0.963<em>x</em>.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

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