You need to figure out the total distance traveled so that you can compute her overall
average rate. Since her jog lasted 30 minutes overall, we can already plug total time into the
formula: Since the question asks for a rate in miles per hour, we need to
convert minutes to hours; 30 minutes equals hour.
During the first 10 minutes, or the first hours, Paula jogged at five miles per hour. That
means that she jogged miles. She then jogged 2.5, or , miles.
So Paula jogged a total of miles.
Now divide this distance by the time.
So Paula jogged at an overall average rate of , or , miles per hour.
49 . B
This question requires you to find the sum of an arithmetic sequence. One formula you can
use to find the sum is
where n is the number of terms in the sequence, a 1 is the first term, and d is the difference
between one term and the next. Since there are 32 rows, and the number of seats in a row
increases by 3:
50 . B
You can use logarithms to solve this problem. After x years, the bank account will have
$1,126 ($1,000 + $126). You need to solve an equation where rate of increase due to interest
is raised to the x power: