Question

When the line representing Kaye's race is graphed, the equation is f(x) = 2/3 x + 1. What was her speed (in meters per second)? Did she get a head start?

Answer 1

Kaye's speed, as represented by the equation f(x) = 2/3 x + 1, is 2/3 meters per second. The '+ 1' in the equation suggests a head start of 1 meter before the race began.Thus, she got a head start.

Step-by-step explanation:

Based on the equation f(x) = 2/3 x + 1, we can determine Kaye's speed and whether she got a head start. In the context of the function f(x), where 'x' represents time and 'f(x)' represents the distance covered, the coefficient of 'x' (which is 2/3) gives us Kaye's speed. The number 2/3 represents her speed in terms of meters per second (since the question does not specify the units, we'll use the most common units for speed in this context).

The fact that there is a '+ 1' in the equation indicates that Kaye did get a head start. This '+ 1' indicates that before any time has passed (x=0), Kaye has already covered a distance of 1 meter, which is the head start she got.