Question

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)

Answer 1

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)

Answer 2

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.

Answer 3

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.