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
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