Question

# The maximum heart​ rate, in beats per​ minute, that you should achieve during exercise is 220...

The maximum heart​ rate, in beats per​ minute, that you should achieve during exercise is 220 minus your​ age,

220 minus a220−a.Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts a and b.

 Lower limit of range Hequals=seven tenths left parenthesis 220 minus a right parenthesis710(220−a) Hequals=four fifths45​(220 minus a220−a​)

Age is not given in the question, so let’s take age as 39 years

a. The lower limit of the heart​ range, in beats per​ minute,

For a 39​-year-old with the given exercise​ goal is 7/10( 220 -39) = 7/10(181) = 1267/10 = 126.7 = 128 heart beats per​ minute (on rounding off to the nearest integer).

b. The upper limit of the heart​ range, in beats per​ minute,

for a 39​-year-old with the given exercise​ goal is 4/5( 220 -39) = 4/5( 181) = 724/5 = 144.8 = 145 heart beats per​ minute ( on rounding off to the nearest integer).