Answer: Part (a): The scale factor is: 5/140 = 1/28 Part (b): The actual height of the tree is: 42 ft
Explanation: Part (a): The scale factor means the ratio between the actual length and the drawn length. In other words, scale factor is used to tell you how long a unit measurement in your drawing represents in reality. To find the scale factor, you have to divide the drawn length by the actual length and simplify. From the given, we have: drawn length = 5 inches actual length = 140 inches Dividing both numbers, we get: scale factor = 5/140 = 1/28 This means that each 1 inch in the drawing represents 28 inches of the actual length
Part (b): I have explained what a scale factor is in part (a). Here, we are given that the scale factor is: 1 in : 6 ft This means that 1 inch on the drawing is used to represent 6 ft in reality. We are given that the tree is 7 inches on the drawing, so to get the actual length, all we need to do is cross multiplication as follows: 1 in : 6 ft 7 in : ?? actual height = (7*6) / 1 = 42 ft
Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.
