A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pens and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?

A. 0.05 − 1.09m + 2.79n
B. 1.05 + 1.09m + 2.79n
C. 1.05(1.09m + 2.79n)
D. 0.95(1.09m + 2.79n)

Respuesta :

A 5% discount indicates that her total purchase amount will be decreased by 5%. Paying full price could be shown as 1.00, so we must subtract 0.05 from the full price to represent the discounted total (1.00-0.05 = 0.95).
Only one choice, D, contains this multiplier so we can be certain of this answer. 


The expression that will represent Cindy’s bill is 0.95(1.09m + 2.79n). Hence, the correct option is D. 0.95(1.09m + 2.79n).

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

It is given that store sells 12-packs of ballpoint pens for $1.09 each.

The store also sells composition books for $2.79 each.

Cindy buys 'm' packs of ballpoint pens and 'n' composition books.

So, the equation for this becomes

1.09m + 2.79n

Cindy gets a 5% discount, so she has to pay 95% of the regular price.

Then the expression that will represent Cindy’s bill,

0.95(1.09m + 2.79n)

Hence, the correct option is D. 0.95(1.09m + 2.79n).

Learn more about expression here;

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