Answer:
A. Linda's unit rate is equal to Nica's unit rate.
Step-by-step explanation:
To compare Linda and Nica's unit rates, we need to find the equation of the line representing Nica's typing speed.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. The slope of a graphed line is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the y-value of the point at which the line crosses the y-axis.
Upon observing the graph, for every one-unit increase in the x-value, there is a corresponding increase of 12 units in the y-values, so the slope is m = 12. The line crosses the y-axis at the origin (0, 0), so the y-intercept is b = 0. Therefore the equation of the graphed line is:
[tex]y = 12x[/tex]
As this equation is the same as the equation representing Linda's typing speed, then:
[tex]\Large\boxed{\boxed{\textsf{Linda's unit rate is equal to Nica's unit rate.}}}[/tex]
