In the function y = 0.25x + 3.5, y represents the cost of a gallon of milk after a certain number of years, x. How much does the cost of milk increase every yea

Question

This is an Algebra 1 question please help.

Answer 1

the function can be represented as:

 

f(x)=0.25x+3.5

 

the function produces the following values for years 1, 2, and 3 respectively:

 

f(1)=0.25(1)+3.5=3.75

f(2)=0.25(2)+3.5=4.00

f(3)=0.25(3)+3.5=4.25

 

therefore, 

 

there is a $0.75 increase per year

 

 

 

Answer 2

If you can't recognize the yearly increase from the slope then try making a table of the first few points.  

 

When x = 0 then y = .25*0 + 3.5 = 3.50

When x = 1 then y = .25*1 + 3.5 = 3.75

When x = 2 then y = .25*2 + 3.5 = 4.00

When x = 3 then y = .25*3 + 3.5 = 4.25

 

How much did the milk go up from year 0 to year 1?  0.25

How much did the milk go up from year 1 to year 2?  0.25

How much did the milk go up from year 2 to year 3?  0.25

 

Every year the milk goes up 0.25