Intermediate Algebra Assignment for 5/17

Today’s assignment is about deciding whether a linear or exponential model is most appropriate for a set of data. The short version is make a scatterplot and examine the picture. If it looks straight, use a linear model. If it looks curved, use an exponential one.

Intermediate Algebra Assignment for 5/15

Not all linear or exponential relationships are as perfectly defined as we’ve seen. Sometimes the fit of a line or a curve is a bit more approximate, and finding the equation for these functions is a bit more tricky. Fortunately, your calculator provides you with a helpful tool in doing just this: Regression. The instructions for getting your calculator to do this are in today’s notes. They’re a little tricky (lots of button pushes), but pretty straightforward.

Intermediate Algebra Assignment for 5/14

More with linear and exponential models today, specifically with interpreting what the parameters (slope, y-intercept, growth rate) mean in the context of the scenario they model.

The big takeaway is this: for both linear and exponential models, the y-intercept is the starting point or initial value. For a linear function, the slope is the unit rate of change – the change in whatever y measures per one unit increase of whatever x measures. For an exponential function, the value of b always represents the growth or decay rate – typically expressed as a percent. You’ll need to set b = 1 + r or b = 1 – r, then solve for r to get the percent change.

Don’t forget to bring your Chromebook and calculator every day for the rest of this week!