Question

Explain why it makes sense for this situation to have a linear equation

Answer 1

Answer:

The line of best fit for your specific question is a linear equation.

Step-by-step explanation:

A linear equation has a constant rate of growth/decline and the growth/decline rate will never change in an linear equation.

If you draw a line that approximately splits between all the data plots, you will notice the line you drew is very close to the data points.

If the data plots was a quadratic, it would be very hard to draw a line of best fit.

Linear equations can easily be identified in a graph because it is a straight line.

Perhaps insert this equation into your graphing calculator or other graphing software online (like Desmos): y = 3x+2

A quadratic equation can also easily be identified in a graph because, in most cases, it looks like a U.

Take these examples: y = $3x^2+5x+2$ or y=$-2x^2+10x+30$