Mrs. Mask looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
This what I was going to type.
The percent increase was 8.8%. I figured this out by subtracting $1195 from $2075. Which gave me 880, then I divided 880 by 100. The answer I got was 8.8 and that the percent increase.
2075 – 1195 = $880
880 ÷ 100 = 8.8%
first step is correct:
2075 – 1195 = $880
now you want the percentage based on the original amount, so
880/1195 = ...
now change that to a percentage
You have to learn to get a "feel" for numbers
1195 is almost 1200
the increase is 880 or about 3/4
so 8.8% is a totally unreasonable answer, it would be around 75%, wouldn't it ??
No, the % increase is the change divided by the original amount:
880/1195 = 0.736 = 73.6%
check:
1195 * 1.736 = 2075
and besides, 880/100 = 8.8 = 8800%
consider. 6 is 50% more than 4, because 6-4=2 and 2/4 = 0.50 = 50%
4 * 1.50 = 6
To find the percent increase, you need to calculate the difference between the new price and the original price, and then divide it by the original price.
In this case, the new price is $2075 and the original price is $1195.
Step 1: Calculate the difference:
$2075 - $1195 = $880
Step 2: Divide the difference by the original price:
$880 / $1195 = 0.7364
Step 3: Convert the decimal to a percentage:
0.7364 x 100 = 73.64%
Rounding to the nearest whole percent, we get 74%. Therefore, the percent increase is approximately 74%.