Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?

= 0.3 min/mile

Step-by-step explanation:

34.5/3 = 11.5

28/2.5 = 11.2

11.5-11.2= 0.3

= 0.3 min/mile

step-by-step explanation:

if x = 2 you have to find x to finish the problem

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.