Question

Help me write an equation that describes the relationship between park vistors and time

Answer 1

Let

x -----> number of years

y ----> number of visitors

we have the ordered pairs

(1, 3,500) and (5, 9,500)

step 1

Find the slope

m=(9,500-3,500)/(5-1)

m=6,000/4

m=1,500 visitors per year

step 2

Find the equation in slope intercept form

y=mx+b

we have

m=1,500

point (1, 3,500)

substitute

3,500=1,500(1)+b

solve for b

b=3,500-1,500

b=2,000

therefore

the equation is

y=1,500x+2,000