Four friends are comparing the amount of dog food their dogs eat per day.

charlotte's dog eats 10.5 pounds of dog food in 12 days.

meiling's dog eats 15 pounds of dog food in 16 days.

amelia's dog eats 4 pounds of dog food in 6 days.

zahra's dog eats 6 pounds of god food in 8 days.

which dog eats the most food, in pounds per day?

Meiling's Dog

Step-by-step explanation:

Determine how much each dog eats per day by dividing the amount in pound by the number of days given.

Charlotte's Dog = 10.5/12 = 0.875pounds per day

Meilings Dog = 15/16 = 0.9375pounds per day

Amelia's Dog = 4/6 = 0.67pounds per day

Zahra's Dog = 6/8 = 0.75pounds per day

Therefore,

Meilings Dog with 0.9375 pounds per day is the answer

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.