Question

Where will her cut be located? Round to the nearest tenth.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

A number line goes from 0 to 60. A line is drawn from 2 to 60.

Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3. Since 2 inches are frayed at one end of the ribbon, she will need to start 2 inches in. This is indicated as 2 on the number line.

25.2 in.
29.4 in.
35.1 in.
40.7 in.

Answer 1

Use the formula with x1 = 2, x2 = 60, m = 2, n = 3:

x = (2/5)(60 − 2) + 2 = (2/5)(58) + 2 = 23.2 + 2 = 25.2 in.

So the cut is at 25.2 inches.