We want to see if Clare and Diego estimations of the slope are correct or not. We will see that Clare overestimated a little bit the slope and Diego got it correct.
How to compare estimations
First, we do know that the exact slope of the triangle is 2/3.
First, Clare says that the slope is given by a ratio of 2.8 : 4.1, now we can take the quotient of these two numbers and see if it is something like 2/3
2.8/4.1 = 0.683
While the actual slope is:
2/3 = 0.666....
So we can see that her measure gives a slope that is a bit larger than the actual one.
For the case of Diego, he says that the slope is 0.67
Note that if we take the actual slope and we round it at the second digit after the decimal point, we get:
0.666... ≈ 0.67
Which is the same thing that Diego got, so his measure is actually correct.
If you want to learn more about slopes, you can read:
https://brainly.com/question/1884491
