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
You can write an expression to represent the total cost of a pair of shoes. The price of the shoes is the variable r. The shoes are marked down 20% or 0.2r. So the new price of the shoes will be r - 0.2r. You will also have to pay a tax of 5% or 0.05 of the new price. This is written as 1.05(r - 0.2r). You can simplify it by doing whats in the parenthesis.
