QUESTION AND ANSWER CHOICES IN DESCRIPTION

Question

the attendance on the 1st day of a carnival was 425 people. The attendance on the 3rd day was 575 people. Assuming attendance will increase linearly each day, how many people will attend the carnival on the 6th day?

 

A) 650

B)725

C)800

D) 875

Answer 1

Let x be number of days.

and y be number of people attending the carnival.

Since it is increasing linearly, so the problem can be described using line equation. y-y1 = m(x-x1)

where m = (y2 - y1)/(x2-x1) = (575-425)/(3-1) = 75

Therefore using line equation we know,

y - 425 = 75(x-1)  ----------------------(1)

Now putting the value of x=6 in eq. 1 we get:

y - 425 = 75(6-1)

y = 75*5 +425

y = 800 peoples

So on 6th day, 800 peoples will attain the carnival