The person's distance increased as he drove to work, but decreased as he returned home. This describes the graph for Mr. Gilliam.

The distance from home of the worker in question would have increased steadily without any interruption. The graph with the constantly increasing line is the one to choose; this graph belongs to Mr. Cleese.

Someone who called in sick would remain at constant zero distance from his home during the entire time. This would be represented by a horizontal line along the zero axis; this describes the graph for Mr. Jones.

The distance in real miles between Kingsbury in Willoughby can be found by multiplying rate  miles per hour by time 90 minutes, or one and a half hours:

Let  represent map distance between the cities, One half of an inch represents forty miles of real distance, so one inch represents twice this, ir eighty miles. The ratio that compares map distance and real distance is

On a map, one half of an inch represents thirty miles of real distance, so one inch represents twice this, or sixty miles. The actual distance from Waterbury to Nashua, which is three and a half inches on the map, is

Therefore, the two cities are 210 miles apart. Divide the distance by the rate to get the time:

, or .

You will use the distance formula of,

.  

Identify the rate and time that is given.

From here, substitute the known information into the formula to calculate distance.

First to find the ones digit multiply the ones digits together.

Carry the three to the tens digit. Now, to find the tens and hundreds digit, multiply six by four and then add in the three that was carried.

Placing these numbers in their appropriate places results in the following solution.

We can find the prime factorization of a number by dividing 48 into smaller numbers.

2 is prime

2 is prime

2 is prime

Both 2 and 3 are prime.

So we have four 2's and one 3.  Multiply these numbers to get 48.

One easy way to find the least common multiple is to take the largest of the numbers given to you, and find its multiples.

8: 8, 16, 24, 32, 40, 48...

Now start with 8, and see if any of these numbers is divisible by 6.  The first number that is divisible by 6 is the least common multiple of 6 and 8.

8: No

16: No

24: Yes

24 is the least common multiple of 6 and 8.

Convert each fraction to a mixed number.

So how many whole numbers are between and ?

4, 5, 6, and 7 would fall between these two numbers.  3 would not.  So there are 4 total whole numbers between them.

This is an arithmetic progression. Therefore you must add or subtract a number to the number before it to arrive at the next number. We must find the difference between each number and apply it to the final number to find the next number in the series. 

To start, take the second number and subtract the first number.

In this case it yields 

Then take the third number and subtract the second number which results in 

If the resulting number is the same you now know the difference between each number in the sequence and can apply the difference to each resulting number.

In this case the difference is 

So we take the final number and add the difference to it to result with