Sarah made a scale drawing of a dinosaur. • She made the height of the dinosaur inches. • The actual height of the dinosaur is 9 feet.What scale did Sarah use for her drawing? A. 1 in. = 3.6 ft B. 1 in. = 4.5 ft
C. 1 in. = 18 ft D. 1 in. = 22.5 ft
To find the scale Sarah used for her drawing, we need to compare the height of the dinosaur in the drawing to its actual height.
Sarah made the height of the dinosaur in the drawing inches, and the actual height of the dinosaur is 9 feet.
We can set up a proportion to find the scale:
1 inch / x feet = inches in the drawing / 9 feet
Cross multiplying, we get:
1 * 9 = x * inches in the drawing
Simplifying further, we have:
9 = x * inches in the drawing
To determine the scale, we divide the inches in the drawing by the actual height of the dinosaur:
x = inches in the drawing / 9
Looking at the answer options:
A. 1 in. = 3.6 ft
B. 1 in. = 4.5 ft
C. 1 in. = 18 ft
D. 1 in. = 22.5 ft
We need to find the option where x (inches in the drawing) divided by 9 equals the ratio given in the answer option.
Looking at the options, we can calculate the ratio for each option:
A. 1 / 3.6 = 0.2777
B. 1 / 4.5 = 0.2222
C. 1 / 18 = 0.0556
D. 1 / 22.5 = 0.0444
Comparing these ratios to the calculated value of x / 9, we see that the closest option is option B:
1 in. = 4.5 ft
So, the answer is B. 1 in. = 4.5 ft.
To find the scale Sarah used for her drawing, we need to compare the height of the dinosaur in the drawing (in inches) to the actual height of the dinosaur (in feet).
Given that the height of the dinosaur in the drawing is 9 inches and the actual height of the dinosaur is 9 feet, we can set up a ratio:
Height of the dinosaur in the drawing (in inches) / Actual height of the dinosaur (in feet) = Scale
Plugging in the values we have:
9 inches / 9 feet = Scale
To simplify the ratio, let's convert inches to feet:
9 inches = 9/12 feet (since there are 12 inches in one foot)
Now, let's substitute the values:
(9/12 feet) / 9 feet = Scale
Simplifying the ratio:
3/4 / 9 = Scale
To divide a fraction, we multiply it by the reciprocal of the second fraction:
(3/4) * (1/9) = Scale
Now, we can calculate the scale:
Scale = 3/36 = 1/12
Therefore, the scale Sarah used for her drawing is 1 inch = 12 feet.
Unfortunately, none of the given options (A, B, C, or D) match the correct scale. So it seems there may be an error in the given answer choices.