Question

Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Hailey decides to leave a tip of 24% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.

Answer 1

1.3392x

Explanation:

You want an expression for the amount Hailey will pay on a bill of amount x after 8% tax is added and she leaves a tip of 24% on the amount with tax included.

Added percents

When a percent p is added to an amount, the equivalent multiplier of the amount is (1 +p).

Here, adding 8% tax to the bill of x makes it be ...

x(1 +0.08) = 1.08x

Then adding 24% to this amount makes the total become ...

(1.08x)(1 +0.24) = 1.3392x

The total Hailey paid is described by 1.3392x.

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