The function f(x)=2.14/55x + 0.31 can be used to determine the cost, in dollars, of a gallon of gas x years since 1960. Part A - According to the function, what was the cost, in cents, of a gallon of gas in 1960?

Part B - According to the function, how much did the cost increase each year, rounded to the nearest whole cent?

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

Given that the function where x represent the number of years since 1960 and y is the cost in dollar as:

a) In the year 1960, that is x = 0, the cost of a gallon of gas is given as:

b) From the function , we can see that the rate of change is 2.14/55. Therefore, the cost increase each year by 4 cents per year.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.