Question

Sam runs for 10 minutes The graph shows his puse, in beats per minute. 100- (beats per min) 80- 1 2 3 5 6 7 8 9 10 Time (min) By drawing a tangent, work out the rate at which his pulse is increasing after 3 minutes. Give the units of your answer. NEW Answer (Total 4 marks) Page 2 of 13​

Answer 1

The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute

How to determine the beat rate after 3 minutes?

The given graph shows the curve and the tangent.

From tangent line, we have the following points:

(x,y) = (3,119) and (1,100)

The beat rate (m) at this point is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{100 - 119}{1 - 3}$

Evaluate the differences

$m = \frac{-19}{-2}$

Evaluate the quotient

m = 9.5

Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute

Read more about rates of tangent lines at:

brainly.com/question/6617153

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