Q:

PLEASE HELP Match each expression to the scenario it represents

Accepted Solution

A:
Answer:i)0.79mii)1.21miii)7/5miv)3/5mStep-by-step explanation:i)The price of a USB memory stick selling at a 21% discount off its marked price (m)The marked price m represents 100% of the value of the USB memory stick. Offering a 21% discount off the marked price will mean that the USB will be selling at;(100 - 21)% of the marked price m=79% of m= (79/100)*m= 0.79mii)The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD.The amount (m) needed to manufacture the CD would represent 100% of the value of the CD. Selling the CD for 21% more than the amount (m) needed to manufacture the CD will imply that the selling price is;(100+21)% of m= 121% of m= (121/100)*m= 1.21miii)The final value of a painting after its initial value, m, increases by 2/5.The initial value of the painting is given as m. The value of the painting is said to increase by 2/5 which means that the increase in its value would be;2/5 of m=2/5 * m=2/5mThe final value of the painting will thus be;initial value + increase in value=m + 2/5m= m(1+2/5)=7/5miv)The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy.Initially, Nancy had a total of m markers. By giving away 2/5 of her markers to Amy, her markers reduced by;2/5 of m=2/5*m=2/5mThe new number of her markers will be given by;initial numbers - total given to Amy= m - (2/5m)= m(1 - 2/5)=m(3/5)=3/5m