Jodie measure a house and its pot and made a scale drawing. The scale of the drawing was 2 inches : 1 foot. If the actual length of the backyard is 74 feet, how long is the yard in the drawing?

148 Inches

Step-by-step explanation:

Scale Drawing is a drawing that has been decreased or increased from its original size to a given scale. This scale is a ratio of the size of the drawing to the size of the object being drawn.

The scale of Jodie's drawing is 2 inches: 1 foot

It means that for every 1 foot of the original house, Jodie represents it with 2 inches on her drawing.

If the actual length of the backyard is 74 feet.

Remember, the scale is a ratio given by:

Size of the drawing : Size of the object being drawn.

Let x be the length of the yard in the drawing

2:1=x:74

x= 2 X 74 = 148 inches

The length of the yard in the drawing is 148 inches.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

goog may have it for you