Answer:
Equation ⇒ y = 50x + 100
The initial value = 100
Rate of change = 50
Step-by-step explanation:
The rest of the question is the table:
Hours: 1 3 5 ⇒ x
Number of people: 150 250 350 ⇒ y
By graphing the points as (x,y) ⇒ (1,150) , (3,250) and (5,350)
The table will represent a linear function
The general equation of the line ⇒ y = mx + c
where m is the rate of change
And c is the y-intercept or the initial value.
m = (y₂ - y₁)/(x₂ - x₁) = (350 - 250)/( 5 - 3) = 100/2 = 50
∴ y = 50x + c
at x = 1 y = 150
∴ 150 = 50 + c
∴ c = 150 - 50 = 100
∴ y = 50x + 100
See the attached figure.
The situation could represents a general institution introduces services to the people, at the beginning there are 100 people , and each hour the number of people increases 50 persons.
Answer:
-50 per month
Step-by-step explanation:
if you look at the table and you see how it subtracts 50 each time then that is the answer
