The attendance on the first day of a carnival was 425 people. The attendance on the third day was 575 people.

Question

The attendance on the first day of a carnival was 425 people. The attendance on the third day was 575 people. Assuming attendance will increase linearly each day, how many people will attend the carnival on the sixth day?

650

725

800

875

Answer 1

875 is the answer

Answer 2

800, and here's why:

If the attendance increases linearly each day, it increases the same amount every day. This means you have to find out how much the attendance increases each day so that you can predict the attendance on the 6th day. The difference between the 1st day and the 3rd day is 150. Since two days passed, the attendance increased twice, not once. So, if you divide 150 by 2, you will get the increase in guests each day, 75. Now you can see that since 75 more people come to the carnival every day, you can figure out the attendance for each day. There would be 650 on the 4th day (575+75), 725 on the 5th day 650+75), and finally 800 people on the 6th day (725+75).

Answer 3

Well, on the 1st day you have 425, and 575 on the 3rd, so you need to work out how much increase there was between these 2 days, which is

575 - 425 = 150

So it increases by 150 every 2 days (or 75 each day), and if it increases linearly, that means it's increasing at the same rate, so by the time it's the 6th day, it'll have increased by

75 x 5 = 375 (You multiply by 5 because that's how many days you add on to the 1st day)

So you get

425 + 375 = 800 on the 6th day

Answer 4

1-425

3-575

In two days the attendance increased 575-425=150 people.  So it increases 75 per day.  On the 4th day there will be 575+75=650 people.  On the 5th day there will be 650+75=725 people.  On the 6th day there will be 725+75=800 people.

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Answer 5

800