5. The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 a) Using Desmos or another curve modelling program, determine an equation that can be used to model this data. 2343 2230 2113 2178 2495 2496 2538 2518 b) Using this model, estimate the number of diagnoses in 1996 and in 2007.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.