Question

*URGENT* (I'm sorry I just have a lot of problems with this math paper and it's due soon, it'll be such a help if you can answer others that'll be out.)
b.) Looking at the graph, estimate where there two dinosaurs crossed path.

c.) Verify that your estimate is appropriate by using simultaneous equations.

Answer 1

The two dinosaurs probably crossed paths at estimated coordinates (- 1, 2.5). 

To find where the two equations actually intersect, set them equal to each other. 

- 1/2x + 3 = 2x + 4

Subtract 4 from both sides, and add 1/2x to both sides to combine like terms.

2 1/2x = - 1 --> 5/2x = - 1

Multiply by 2/5 on both sides to isolate x

x = - 1(2/5)
x = - 2/5

Now plug in to either of the two equations. I used 2x + 4

- 1/2(- 2/5) + 3 = y
1/5 + 3 = y
y = 3 1/5


The actual coordinates where the dinosaurs crossed paths was (- 2/5, 3 and 1/5).

My original estimate was (- 1, 2 1/2) because based on the graph drawn above the point of interest (the intersection) appears to be below the third unit on the y-axis as well as in between the negative two unit and origin on the x-axis. My estimate was also off because the x-axis is counting by twos which does not necessarily allow for an accurate estimate strictly based on the naked eye.