Final answer:
The equation that completes the table with y=40.00+0.80x is option (a) y=40.00+0.80x; it is the only option that matches the given equation's slope and y-intercept exactly.
Step-by-step explanation:
The question is asking to identify the equation that completes the table with y=40.00+0.80x. The correct equation that represents this relationship is option (a) y=40.00+0.80x because it matches the given equation exactly. Options (b), (c), and (d) do not provide the same relationship as they either lack the constant term (y-intercept) of 40.00 or the correct coefficient for x.
To clarify further, when you have an equation of the form y = mx + b, 'm' represents the slope (change in y for each unit change in x) and 'b' represents the y-intercept (the value of y when x is 0).
The other options provided do not have the same structure as the given equation. Option (b), y=0.80x, lacks the y-intercept part; option (c), y=40.00x, suggests a slope of 40.00, which is incorrect; and option (d), y=40.80x, combines the slope and y-intercept into one term, altering the slope which is not the same as the given equation.