Question

The maximum heart​ rate, in beats per​ minute, that you should achieve during exercise is 220 minus your​ age, 220−a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts a and b. Lower limit of range H equals=seven tenths left parenthesis 220 minus a right parenthesis 7/ 10(220−a) Upper limit of range Hequals=four fifths 4/ 5​(220 minus a220−a​) a. What is the lower limit of the heart​ range, in beats per​ minute, for a 47​-year-old with this exercise​ goal?

Answer 1

The lower limit of the heart range for a 47-year-old with the exercise goal of improving cardiovascular conditioning is approximately 121.1 beats per minute.

Step-by-step explanation:

The lower limit of the heart range for a 47-year-old with the exercise goal of improving cardiovascular conditioning can be calculated using the formula:

Lower limit of range (H) = 7/10 (220 - a)

Substituting a = 47 into the formula, we get:

H = 7/10 (220 - 47)

Solving this equation, we find:

H = 7/10 (173)

H = 121.1

Answer 2

Lower limit for H is given as = 7/10*(220-a) where a is the age of the person

a. We have to calculate the lower limit for a person whose age is 47

We substitute the age "a" = 47 in the above equation to calculate the lower limit .

Lower limit = 7/10*(220-47)

Lower limit = 7/10*173

Lower Limit = 1211/10 = 121.10 = 121 beats/minute (since we cannot have fractional beats)

Lower limit of the heart​ range in beats per​ minute = 121 beats/minute