Part A
49-14 = 35
<span>35/7 = 5 </span>
Part B
5 miles each day
Part C
<span>49+35 = 84 </span>
<span>84+40 = 124, which is a good estimate and it is reasonable</span>
First find the slope of the line connecting these two points:
6-5
m = ------------ = -1/2
-4+2
Substitute this slope into y = mx + b: y = (-1/2)x + b.
Next, subst. 5 for y and -2 for x, and find b:
5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and
the equation of the line is y = (-1/2)x + 4.
Volume of prism = 5 x 5 x 12 = 300 cubic centimeters
Volume of pyramid = 5 x 5 x 6 = 150 cubic centimeters
Volume of space = 300 - 150 = 150 cubic cm
