Pizzapegasus1
16.12.2020 •
Mathematics
Target 2A-I can represent and analyze situations using linear equations and inequalities.
1. Kyle has been helping District 81 out by repairing and debugging the school's computers. Some of the data is shown
in the table below.
0
3
6
9
15
18
21
# of weeks since school started
Total # of computers fixed
12
32
24
92
a.
What is the rate of change (slope) for this situation? Explain what it means for this situation.
Rate of change:
Meaning for this situation:
b. Write an equation to model this situation. (Label each part of your equation!)
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Ответ:
Part A)
Using the Pythagorean theorem you can find the height:
17^2 = 8^2 + x^2
289 = 64 +x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
The height is 15 cm.
Part B)
Area of the triangular side: 1/2 x 16 x 15 = 120 square cm.
There are two triangles so 120 x 2 = 240 square cm.
One side = 20 x 17 = 340
There are 2 sides so 340 x 2 = 680 square cm.
The bottom is 16 x 20 = 320 square cm.
Total cardboard needed: 240 + 680 + 320 = 1,240 square cm.