Ethan writes the ratio x8=y16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x ?(1 point)
To solve this problem, we can cross multiply the ratio x8 = y16.
x * 16 = 8 * y
16x = 8y
Given that y = 3 units, we can substitute that into the equation to solve for x.
16x = 8(3)
16x = 24
x = 24/16
x = 1.5
Therefore, the value of x will be 1.5 units.
Li is a professional nature photographer. She takes a photograph of a spider web and prints a copy. The original dimensions of her copy are 6 inches by 4 inches. Li decides to advertise her business by printing smaller copies of the spider web photograph and emailing them to friends and acquaintances. Which dimensions represent a smaller scale drawing of the original printed photograph?(1 point)
To determine the smaller scale drawing of the original printed photograph, we can choose dimensions that are proportional to the original dimensions of 6 inches by 4 inches.
For example, if we scale down the original dimensions by half, we get a smaller scale drawing with dimensions 3 inches by 2 inches. This would represent a smaller scale drawing of the original printed photograph.
Other possible smaller scale dimensions could be 4.5 inches by 3 inches or 2 inches by 1.33 inches, as long as they maintain the same ratio of 3:2 as the original dimensions.