How many people will there be

Question

The attendance on the first day of the Sunny Day Festival was 325 people. The attendance on the 3rd day was 382 people. Assuming the attendance will increase linearly each day, write a linear equation and figure out how many people will attend the Sunny Day Festival on the 7th day?

Answer 1

x= 0  → Day 1 →325

x= 1  → Day 2 → ?

x= 2  → Day 3 → 382

 

x= 6  → Day 7 → ?

Based on the data given, use point-slope form of linear equation (y₂  -  y₁)=m( x₂  - x₁ )

• To solve for the rate of change, m;

(382 - 325) = m(2 - 0)

  28.5 = m

Approximately, 28.5 people more come to the festival each day.

• To write a linear equation

             y = 28.5x + 325

• On the 7th day, x=6

            y = 28.5(6) + 325

            y = 496