Begin by determining the overhead costs. The selling price was $240. To calculate 20% of 240, multiply 240 by 0.20, yielding 48. Consequently, the overhead expenses total $48. To figure out the profit, subtract total expenses from the selling price. Mr. Lippman's selling price was $240, he paid $160 for the dryer, and incurred $48 in overhead expenses. Thus, 240 - 160 - 48 equals 32. Therefore, the profit is $32. To determine the profit rate, divide the profit by the total expenses. 32 / (240 + 160) results in 0.08. Hence, the profit rate is 8%.
# of guests waitstaff gratuity
10 18
20 36
30 54
40 72
50 90
<span>If the gratuity changes directly with the number of guests, which formula outlines the connection between the gratuity, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>
Manuel has opted to construct a fence to define a play area for his dogs, which will be a rectangular shape. Since only three sides require fencing because his house acts as one side of the rectangle, we conclude that the optimal area configuration will consist of two shorter sides each measuring 20 feet and a longer side measuring 40 feet.