After being exposed to an electromagnetic shrinking machine, Joe's height decreased by 120120120 cm over 1.51.51, point, 5 seconds. His height decreased by the same amount each second.
How much did Joe's height change each second?
Grandpa Ernie is shrinking! Over the past 444 years, his height decreased by a total of 2.4 \text{ cm}2.4 cm2, point, 4, start text, space, c, m, end text. It decreased by the same amount each year.
120120120 cm over 1.51.51, point, 5 seconds
??? what is all this gibberish? You mean
120 cm over 1.5 seconds ??
Why not just say so?
120cm / 1.5s = 80 cm/s
To determine how much Joe's height changed each second, we need to find the rate of change of his height.
The given information tells us that Joe's height decreased by 120120120 cm over a duration of 1.51.51, point, 5 seconds. This means the change in height occurred over a time interval of 1.51.51, point, 5 seconds.
To find the rate of change, we can divide the change in height by the time interval.
Rate of change = Change in height / Time interval
Rate of change = 120120120 cm / 1.51.51, point, 5 seconds
Simplifying the calculation:
1.51.5 = 1.5 + 0.1 + 0.01 = 1.6
So, the time interval is 1.6 seconds.
Rate of change = 120120120 cm / 1.6 seconds
Performing the division:
Rate of change = 75,075,075 cm/second
Therefore, Joe's height changed by 75,075,075 cm per second.