Answer:
The ant
Step-by-step explanation:
We know that the meters traveled is going to be more than the amount of minutes because it is 1.5:1 so that narrows it down to the turtle and the ant.
Now we can just take 150% of each and see if they match up.
150% of 5 is 7.5 so therefore it is not the Turtle which means it must be the ant.
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The general form for a line through two points (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
This is better than the slope forms because it works in the no slope case, as does the standard form.
If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.
Here we have
(0 - -5)(y - 0) = (-9 - 0)(x - - 5)
5y = -9(x+5)
5y = -9x - 45
9x + 5y = -45
Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.
Answer: 9x + 5y = -45
Check:
We check each point is on the line
(-5,0)
9(-5) + 5(0) = -45, good
(0, -9)
9(0) + 5(-9) = -45, good again
Do the 11% off first.
11% of 52$ is 46.38$, then you take $40 off and your total is only $6.38
if you do -40$ first then you have $12 left and 11% off that is $10.68.
