The video memory has a volume in which a 4-color image of 300×200 size can be stored.

The video memory has a volume in which a 4-color image of 300×200 size can be stored. What size image can be stored in the same amount of memory if it uses a 16-color palette?

It is known that N1 = 4. We use the formula N = 2 ^ i, hence i1 = 2.

It is also known that N2 = 16 whence, using the same formula, we find i2 = 4.

I = k * i. Find I1. I1 = k1 * i1 = 300 * 200 * 2 = 120000

I1 / I2 = i1 * k1 / i2 * k2 and hence k2 = k1 * i1 * I2 / I1 * i2 since I1 = I2,

then k2 = k1 * i1 / i2

k2 = 300 * 200 * 2/4 = 30,000 (150 * 200 or 300 * 100, etc.)