Answer:
5
Step-by-step explanation:
(graph the points)
first let's find the horizontal distance between the points.
first point is at x = 0, the second point is at x = 4
4 - 0 = 4
next find the vertical distance between.
first is y = 2, second is y = 5
5 - 2 = 3
using these distances we can set up a right triangle with a base of 4 and height of 3 and a hypotenuse that is the distance between the two points.
using pythag. theorem:
4^2 + 3^ 2 = c^2
25 = c^2
c = 5
You can find possible answers just by looking at the x terms in each offered choice.
a. x(-5-2) = -7x ≠ 3x
b. x(4+1) = 5x ≠ 3x
c. x(11-8) = 3x . . . . . . . . a potentially viable choice
d. x(9+6) = 15x ≠ 3x
When you check the rest of answer selection c, you find it doesn't work, either.
... x²(1-1) +x(11-8) +(-12+23) = 3x +11
The correct choice is ....
... e. none of the above
_____
We expect there has been a typo in the question and you're supposed to find the equivalent of 3x+11. In that case, the appropriate choice is c.
_____
In cases like this where an error in the problem is suspected, I like to suggest you ask your teacher to show you how to work the problem. (In math, details are everything.)
Is the question how much it cost per kg?
If so, divide $13 by 1 3/7 kg.
13/(1 3/7) = 13/(10/7) = 13 * 7/10 = 91/10 = 9 1/10
Answer is 9 1/10 dollars per kg.
(Assuming I guessed your question correctly.)