Question

Help! I did the rest of the questions on this assignment but these two are killing me. The one with the graph I don’t even remember doing anything like it and the other one I am drawing a blank, it’s not like the questions in ALEKS. Any help is greatly appreciated!!

Answer 1

1. The two sides of the rectangle and the diagonal form a right triangle. Do you know a relationship between the legs of a right triangle and the hypotenuse?
2. Those dots seem to have a trend. How would you describe the shape of that graph?

Answer 2

The first one is a rectangle.  But the diagonal forms 2 triangles and you can use either one.  Use the Pythagorean Theorem to relate the diagonal length to the lengths of the sides.

The second problem is an interpolation \["inter" because the answer lies within the range given; if it lay outside, it would be an extrapolation\].  You had the right idea by graphing the pairs.  When done, draw a straight line through them and see what height corresponds to a hand length of 7.75".

It's going to be a bit tough to see, given the scale.  I would start my x axis at 6 \[the smallest hand length\] and go to 8 \[the longest hand length\].  On the y axis, go from 60" to 75".  It will be a lot easier to guestimate your answer than with the graph you drew.

Answer 3

Use the Pythagorean the rum for the diagonal, length, and width problem.

a^2 + b^2 = c^2
Is is length, b is width, c is diagonal. Solve for what’s missing.

Answer 4

On the second problem, you can select two of the points and make (x,y) coordinates out of them. Then its just like a problem that would say something like "Find the equation of the line that passes through (1,2) and (3,4)" which is a standard algebra problem.   


This question is trying to show you a real life situation where someone would want to find the equation through two points (because they want to make a formula relating two things, that they could then use to predict one quantity based on the other)