If triangle IUP has angles I=50, U=60, P=70. The longest side of the triangle would be IU because if you draw the triangle and put the amounts of the angles in the correct place you draw a line across from the biggest angle to the side across from it and that gives you the longest side
You are given two points on a line, and told that the function is "direct variation." You can save a lot of time by recognizing that the y-intercept here is zero (0). Thus, the line passes through the origin.
A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.
The shelf should sell for $235.20.
Marking the price up by 60% means taking 160% of the cost:
160% = 160/100 = 1.6; 1.6(147) = 235.20