Respuesta :
The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.
What is average?
The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.
Average = the sum of the data value / the total number of units
The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,
where t is the time in seconds.
At t = 2 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(2) + 100
= 90.2
At t = 4 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(4) + 100
= 80.4
The average rate of change in m/s of the height of the rock is between 2 and 4 seconds
= 80.4 - 90.2 / 2
= - 4.9
Thus, the correct option is A.
Learn more about average here;
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