Questions: Name: Practice Problem Solving 6. Leveled Practice Resting heart rate is a measure of how fast the heart beats when a person is not performing physical activity. The graph shows the number of heartbeats over time for a given person. a. Use two sets of coordinates to write an equation to describe the relationship. m is Resting Heart Rate b. Interpret the equation in words. The heart's resting heart rate is beats each minute.

Name: Practice Problem Solving 6. Leveled Practice Resting heart rate is a measure of how fast the heart beats when a person is not performing physical activity. The graph shows the number of heartbeats over time for a given person. a. Use two sets of coordinates to write an equation to describe the relationship. m is Resting Heart Rate b. Interpret the equation in words. The heart's resting heart rate is beats each minute.
Transcript text: Name: Practice & Problem Solving 6. Leveled Practice Resting heart rate is a measure of how fast the heart beats when a person is not performing physical activity. The graph shows the number of heartbeats over time for a given person. a. Use two sets of coordinates to write an equation to describe the relationship. m is Resting Heart Rate b. Interpret the equation in words. The heart's resting heart rate is $\square$ beats each minute.
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Solution

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Solution Steps

Step 1: Identify two points on the graph

Two points that lie on the line are (2, 140) and (4, 280).

Step 2: Calculate the slope (m)

The slope is calculated using the formula: \\( m = \frac{y_2 - y_1}{x_2 - x_1} \\)

Using the points (2, 140) and (4, 280): \\( m = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 \\)

So the slope, m, is 70. The equation now looks like: \\(\frac{280-140}{4-2}=\frac{140}{2}=70 \\) \\(m=70 \\) \\(y = 70x \\)

Step 3: Interpret the equation

The equation \\( y = 70x \\) means the heart beats 70 times each minute.

Final Answer

m is \\(\frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 \\) \\(y = 70x \\) The heart's resting heart rate is \\(\boxed{70} \\) beats each minute.

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