Michelle has two different babysitting rates. Rate A is a flat fee of $10 plus $10 per hour. Rate B is $12 per hour. What is the LEAST number of hours she must baby-sit to make Rate B the better paying rate?

Taking integral solns. of ##h##, ##h=6.##

Let us denote, by ##h## the no. of hours that Michelle baby-sit.

Then, by Rate A Michelle will get a sum of ##$(10+10h)##, whereas, by Rate B , the amt. will be ##$12h.##

To make Rate B better paying than Rate A, we need,

##12h>10+10h, rArr 12h-10h>10 rArr 2h>10 rArr h>5.##

Taking integral solns. of ##h##, ##h=6.##