The following table shows the amount of air leaking from an inflatable as a function of time: Time (in minutes)
x Air (in ounces)
f(x)
0 64
1 56
2 48
3 40
4 32

Find and interpret the meaning of the x-intercept in this scenario.
(8, 0); the time it takes all the air to leave the inflatable
(64, 0); the time it takes all the air to leave the inflatable
(64, 0); the time it takes to fill up inflatable with air
(8, 0); the time it takes to fill up inflatable with air

A

Step-by-step explanation:

It decreases by 8 ounces every minute, so in 4 more minutes, it'll decrease by 32 ounces in 4 more minutes.

The answer is A

Step-by-step explanation:

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step-by-step explanation:

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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.