Question

After a Crossfit class, Sarah’s heart rate decreases at a rate of 17 beats
per minutes for 6 minutes. Which expression can help determine how
much Sarah’s heart rate decreased in the 6-minute period?

1. thanhcong
Sarah’s heart rate decreased by 102 beats in the 6 minutes.
Given: Sarah’s heart rate decreases at a rate of 17 beats per minute for 6 minutes.
What is a change of quantity concerning time?
The change in some quantity is the amount of change from the immediate initial state or value to the very next initial state or value in one unit of time.
The change of a quantity concerning time helps us to identify the efficiency of the particular system and can help us to predict any future consequence or benefits or no change.
We can derive certain equations with the help of algebraic variables to relate the change of quantity from an initial state or value to any other initial state or value for a certain unit of time-lapse.
What are algebraic variables?
Algebraic variables are a set or sequence of characters like alphabets or words which are used to store values or to generalize an object and are used for making relations or equations. They play an important role in mathematics.
Now let’s solve the given question.
Given that Sarah’s heart rate decreases by 17 beats per minute.
First, we will try to make a general equation of Sarah’s decreasing heart rate concerning time here which is minutes.
Let the initial heart rate be y
Let Sarah’s heart rate is decreasing for x minutes.
Sarah’s heart rate after x minutes is 17x.
Therefore, the equation for Sarah’s total number of a heartbeat after x minutes is given as y – 17x
As per the question after 6 minutes, Sarah’s total number of the heartbeat can be written as: y – 17×6
= y – 102
Therefore Sarah’s heart rate decreased in 6 minutes = Initial heart rate – heart rate after 6 minutes
= y – (y – 102)
= 102
Hence Sarah’s heart rate decreased by 102 beats in the 6 minutes.
Know more about “change of rate” sums here: https://brainly.com/question/27923275
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