A diabetic girl injects insulin based on measurements of her blood sugar
level. If the blood sugar level is less than 120, she doesn't need to inject any
insulin at all. For a value of 120, she injects 1 unit of insulin. For every
additional increase of 20 in her blood sugar level, she gets one additional unit
of insulin.

How much insulin does she need to inject for a blood sugar level of 130? 180?

Make a table that shows the number of units of insulin injected for blood
sugar values of 100, 110, 120, ..., 200.

Create a formula for calculating the insulin injections.

Use the formula to determine how many units of insulin the girl needs to
inject for a blood sugar level of 290.

A rock accelerates at 9 meters per square-second like this:

after t = |
0 |
1 |
2 |
3 |
4 |
5 |
... |
10 |
... |
15 |
seconds |

it has traveled |
0 |
4.5 |
18.0 |
40.5 |
72.0 |
112.5 |
... |
?? |
... |
?? |
meters |

Create a formula for calculating how far the rock has gotten in t
seconds.

Use the formula and a calculator or DrScheme's Interactions Window to
fill in the two boxes with ?? in the above table.

A firm wants to pre-print postcard stationary for rejection notices with all
possible combinations of openings. The assumption is that each applicant can be
addressed as either a `Dr.`, `Mr.`, or `Mrs.` followed by a
blank space and followed by a colon (:) or a (,) depending on whether they want
a formal or a friendly rejection notice, respectively.

Figure out and enumerate all possible combinations. Explain how you arrived
at the result.