8. An Introduction to Equations
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Use mental math to guess the starting value for the table.
Between 4 and 5.
We want to use a table to find the two consecutive integers between which the solution lies for the given equation.
-115b+80=-489
To choose a good starting point, let's pretend that the equation is a bit more simple.
| b | -115b+80 | Evaluate |
|---|---|---|
| 5 | -115 (5)+80 | -495 |
| 4 | -115 (4)+80 | - 380 |
Since our equation is -115b+80=-489, and -495<-489<-380, we know that the solution must lie between 4 and 5. 4