The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Time (min), x Distance (m), y
5 1,930
10 1,380
15 830
20 280

both equations and proportions are better.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer: what are the following choices