18.

In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100.

a. Find the percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002.
b. Which period had a higher percent of increase, 2000 to 2001, or 2001 to 2002?

Can someone explain it to me? Not just the formula. :)

the % change is the actual change divided by the original value.

Thus, from 2000 to 2001, the % growth is
(3640-3250)/3250 = 0.12 or 12%
now do the same steps for the 2nd period, and then you can answer (b) easily

(3640-3250)/3250 x 100 =

(390)/3250 x 100 =
.12 x 100 = 12%

(4100-3640)/3640 x 100 =
(460)/3640 x 100 =
.1263736264 x 100 = ~ 12.6%

2001 to 2002 had a higher percent of increase.

To find the percent of increase in circulation, we need to calculate the difference in circulation between the two years and then divide that difference by the original circulation.

a. Let's find the percent of increase from 2000 to 2001 first:
1. Subtract the circulation of 2000 from the circulation of 2001: 3,640 - 3,250 = 390.
2. Find the percent increase by dividing the difference by the original circulation: (390 / 3,250) x 100 = 12%.

Now let's find the percent of increase from 2001 to 2002:
1. Subtract the circulation of 2001 from the circulation of 2002: 4,100 - 3,640 = 460.
2. Find the percent increase by dividing the difference by the original circulation: (460 / 3,640) x 100 = 12.63% (rounded to 2 decimal places).

b. Comparing the two periods, we can see that the percent of increase from 2001 to 2002 is 12.63% which is higher than the percent of increase from 2000 to 2001, which was 12%. Therefore, the period from 2001 to 2002 had a higher percent of increase.

To find the percent increase in the circulation of the local newspaper from 2000 to 2001, and from 2001 to 2002, follow these steps:

Step 1: Calculate the difference in circulation between the two years:
- From 2000 to 2001: 3,640 - 3,250 = 390
- From 2001 to 2002: 4,100 - 3,640 = 460

Step 2: Calculate the percent increase for each period by dividing the difference by the initial circulation and multiplying by 100:
- From 2000 to 2001: (390 / 3,250) * 100 = 12%
- From 2001 to 2002: (460 / 3,640) * 100 ≈ 12.64%

Now let's move on to determining which period had a higher percent increase:

To compare the percent increases, we can simply look at the calculated percentages. In this case, 12.64% is higher than 12%. Therefore, the period from 2001 to 2002 had a higher percent increase in circulation compared to the period from 2000 to 2001.

In summary:
a. The percent increase in the newspaper's circulation from 2000 to 2001 was approximately 12%, and from 2001 to 2002 was approximately 12.64%.
b. The period with the higher percent increase was 2001 to 2002.