Astore 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?
0.05 − 1.09m + 2.79n
1.05 + 1.09m + 2.79n
1.05(1.09m + 2.79n)
0.95(1.09m + 2.79n)

The expression that represents Cindy´s bill is 0.95(1.09m + 2.79n).

Step-by-step explanation:

Hi, to find the correct expression we have to analyze the information given:

Packs of ballpoint pens = m

Price of ballpoint pens=$1.09 each

Composition books= n

Price of composition books = $2.79 each

Discount 5%

Cindy buys m packs of ballpoint pens and n composition books. To represent this statement in an equation we have to multiply each quantity of the items bought by the price of each item.

So, mathematically speaking

1.09m + 2.79n

Now, to apply the 5% percent discount we have to multiply the whole expression by 0.95.  

0.95(1.09m + 2.79n)

In conclusion, the expression that represents Cindy´s bill is 0.95(1.09m + 2.79n).

Feel free to ask for more if it´s necessary or if you did not understand something.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3