Given the coordinates for the function below, which of the following are coordinates for its inverse?

Gallons Cost, in

of Gas Dollars

1

2

5

15

20

1.25

2.50

6.25

18.75

25.00

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Given the coordinates for the function below, which of the following are coordinates for its inverse?

Gallons Cost, in

of Gas Dollars

1

2

5

15

20

1.25

2.50

6.25

18.75

25.00

Not sure but I believe it is A

Step-by-step explanation:

The equation of the function is assumed to be a straight line is of the form,

[tex]y= mx+c[/tex], where [tex]m,c[/tex]

are the gradient and the y intercept respectively.

The gradient is computed using the formula for the gradient, i.e

[tex]m=\frac{y_2-y_1}{x_2-x_1} = \frac{-5-5}{2-0} = -5[/tex].

The equation of the line is,

[tex]y= -5x+c\\=5=-5(0)+c\\= c= 5[/tex]

The equation of the function is ,

[tex]y = -5x+5.[/tex].

The value of the x-coordinate when the y coordinate is 0 is found as shown below.

[tex]0=-5x+5\\=x=1\\[/tex].

so the x-coordinate is 1.

g(x) = 0.8x gal/dollar

Step-by-step explanation:

This is a direct relation, each gallon costs 1.25, 20 gal. costs 25.00, etc.

so

f(x) = 1.25x where x = number of gal. f(x) is the cost

The inverse relation is the reciprocal,

for each $1.00, we can buy 1/1.25 = 0.8 gal.

or

g(x) = 0.8x where x = amount, g(x) is number of gallons

gimme the rest of the question then i can properly answer this question

Step-by-step explanation:

2-3+23=-34 so that is the right one