The table below shows the number of cups of food Trey's cat ate over time. Number of cups: 3, 4, 9, 12, 15
number of days: 4, 8, 12, 16, 20

Which statement gives a unit rate?

A: For every day, Trey's cat ate 1.5 cups

B: For every cup, Trey's cat ate for 1.5 days

C: For every cup, Trey's cat ate for 0.75 of a day

D: For every day, Trey's cat ate 0.75 of a cup

C.

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C

Step-by-step explanation:

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.

70

step-by-step explanation: