Scale: 1 box = 3 feet
Ms. Lopez is using the drawing as a model for her sandbox. She needs to convert the scale drawing from the current scale of 1 box = 3 feet to a scale of 1 box = 6 feet. What will be the width in boxes of the next drawing?
To convert the scale from 1 box = 3 feet to 1 box = 6 feet, you need to double the size of the scale.
So, the width in boxes of the next drawing will be half of the current width in boxes since the scale is being doubled.
Therefore, the width in boxes of the next drawing will be 1/2, or 0.5 boxes.
Paige estimates that her dog weighs 400 ounces. In fact, the dog weighs 496 ounces. What is Paige’s percentage error? Use proportional relationships to solve the problem. Show all your work and round your answer to the nearest tenth of a percent.
To find Paige's percentage error, we need to compare her estimate to the actual weight of the dog and calculate the difference as a percentage of the actual weight.
The difference between Paige's estimate and the actual weight is 496 ounces - 400 ounces = 96 ounces.
To express this difference as a percentage of the actual weight, we divide the difference by the actual weight and multiply by 100:
Percentage error = (96 ounces / 496 ounces) * 100
Percentage error ≈ 19.4
Therefore, Paige's percentage error is approximately 19.4%.
To convert the scale of the drawing from 1 box = 3 feet to 1 box = 6 feet, we need to determine the proportional relationship between the two scales.
Currently, 1 box represents 3 feet. In the new scale, we want 1 box to represent 6 feet.
To find the conversion factor, we divide the desired scale by the current scale:
6 feet / 3 feet = 2
This means that we need to magnify the drawing by a factor of 2.
Since the width of the drawing is not given, let's assume it is "x" boxes in the current scale. To find the width of the next drawing, we can multiply "x" by the conversion factor:
Width of the next drawing = x * 2
Therefore, the width of the next drawing will be "2x" boxes.