SOLUTION: The ideal maximum heart rate for 25 years old who burn fat is 117 beats per minute. For every 5 years older than 25, that ideal rate drops 3 beats per minute. Write a linear equati

Algebra ->  Equations -> SOLUTION: The ideal maximum heart rate for 25 years old who burn fat is 117 beats per minute. For every 5 years older than 25, that ideal rate drops 3 beats per minute. Write a linear equati      Log On


   

Question 141620: The ideal maximum heart rate for 25 years old who burn fat is 117 beats per minute. For every 5 years older than 25, that ideal rate drops 3 beats per minute. Write a linear equation to find the ideal maximum over 25 who is exercising to burn fat. Graph the equation. Find the ideal maximum heart rate for a person exercising to burn fat who is 55 years old.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The ideal maximum heart rate for 25 years old who burn fat is 117 beats per minute. For every 5 years older than 25, that ideal rate drops 3 beats per minute. Write a linear equation to find the ideal maximum over 25 who is exercising to burn fat. Graph the equation. Find the ideal maximum heart rate for a person exercising to burn fat who is 55 years old.
:
Assign the given values as follows
x1 = 25; y1 = 117
:
-3 beats for every 5 yrs, we know the slope will be -3%2F5
:
Find the equation using the point/slope formula
y - 117 = -3%2F5(x - 25)
y - 117 = -3%2F5x + 15
y = -3%2F5x + 15 + 117
y = -3%2F5x + 132
:
Graph this:
+graph%28+300%2C+200%2C+-20%2C+120%2C+-50%2C+180%2C+-.6x%2B132%29+
:
"Find the ideal maximum heart rate for a person exercising to burn fat who is 55 years old."
Substitute 55 for x and find y in the above equation
y = -3%2F5(55) + 132
y = -33 + 132
Y = 99 bbm for a 55 yr old