Question

Eric plans to rent a Beach House for a week. He has a coupon for 20% off the daily base rate of $200. He will also have to pay an additional $20 a day for utilities. Which expression represents the situation? (d represents the number of days)

A) 160d
B) 176d
C) 180d
D) 220d

Answer 1

Daily base cost = $200
Additional = $20

200-20%= 160 + 20 = $180d.

Answer 2

C. 180d.

Explanation:

Let d represent the number of days.

We have been given that Eric has a coupon for 20% off the daily base rate of $200.

To find the daily base rate after discount we need to figure out 80% of $200 as 100%-20%=80%.

`\text{The daily base rate after discount}=(80)/(100)* \$200`

`\text{The daily base rate after discount}=0.80* \$200`

`\text{The daily base rate after discount}=\$160`

Since Eric will also have to pay an additional $20 a day for utilities, so the total cost for one day will be equal to daily base rate after discount plus additional charges.

`\text{Total cost for one day}=\$160+\$20`

`\text{Total cost for one day}=\$180`

As cost of one day is $180, therefore, the cost for d days will be 180d and option C is the correct choice.