It took Han 2 minutes to fill a pail up with 4 gallons of water from a faucet that was flowing at a steady rate. Let g be the number of gallons of water in the pail after m minutes. Write 2 equations to represent the relationship between g and m? Hint: Make a table and then find your constant of proportionality.

is means division by fractions

step-by-step explanation:

2nd one in the first row is correct

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.