Suppose you have developed a scale that indicates the brightness of the sun. each category in the table is 5 times brighter than the category above it. for example, a day that is dazzling is 5 times brighter than a day that is radiant. how many times brighter is a dazzling day than a dim day if the dim day is 2 and the dazzling day is 5?

125 times brighter

Step-by-step explanation:

If the dazzling day have a value of 5 in your scale, and a dim day, a value of 2, there are 5-2 = 3 category increases between them. Now, every category is 5 times brighter than its immediate predecessor so:

B₃ =5*B₂;

B₄ =5*B₃;

B₅ =5*B₄;

Replacing, we get:

B₅ = 5*(5*(5*B₂));

This is:

B₅ = 5³*B₂;

B₅ = 125*B₂