#### Answer

$\$724.45$

#### Work Step by Step

Math tutors get $\$8.15$ per hour.
They get an additional $\$2.20$ per hour for each hour over 40 hours a week.
A math tutor worked 42 hours one week and 45 hours the next week.
The first week, he earned:
$42*8.15 + (42-40)*2.20=342.30 + 4.40 = 346.70$ (dollars)
The second week, he earned:
$45*8.15 + (45-40)*2.20=366.75 + 11 = 377.75$ (dollars)
In total, he earned:
$346.70+377.75=724.45$ (dollars)