Danny's truck has a fuel tank with a capacity of 20 gallons of gas. the truck averages 17 miles per gallon of gas. the function m(g) = 17g represents the number of miles that danny's truck travels on g gallons of gas. what domain and range are reasonable for the function? a. d: 0 ≤ g ≤ 340 r: 0 ≤ m(g) ≤ 20 b. d: 0 ≤ g ≤ 20 r: 17 ≤ m(g) ≤ 340 c. d: 17 ≤ g ≤ 20 r: 20 ≤ m(g) ≤ 340 d. d: 0 ≤ g ≤ 20 r: 0 ≤ m(g) ≤ 340

For this case we have the following function:

Where,

g: number of gallons of gas

M (g): number of miles that Danny's truck travels

We know that the maximum capacity is 20 gallons of gas.

Therefore, the maximum distance the truck can travel is given by:

Thus, the domain of the function is:

The range of the function is:

A domain and range that are reasonable for the function are:

D. D: 0 ≤ g ≤ 20

R: 0 ≤ M (g) ≤ 340

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.