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.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

answer: '

the distance between points l and m

step-by-step explanation: