Question

After 13 minutes of kickboxing class, Jessica has a heart rate of 102. After 15 minutes, she has a heart rate of 106. Assuming that Jessica's heart rate H is a linear function of the time T spent in kickboxing, write H as a linear function of T.

Answer 1

linear function H(T) will have the form: H = mT + b
we want m and b.

[taken from a line has the general form y = mx + b]
where m is the slope and b is the y intercept.


the slope:
\[m=\frac{ ΔH }{ ΔT }=\frac{ H_2 - H_1 }{ T_2 - T_1 }= \frac{ 106-102 }{ 15-13 } = \frac{ 4 }{ 2 } = \]


to find the y intercept

plug in any point (H, T) and the slope you just found.

use the first point: (H, T) = (102, 13) and plug it in H = mT + b

102 = 2(13) + b

solve for b:

b = 76

so the function H(T) is:

H = 2T + 76

feel free to ask questions ^_^

Answer 2

eating supper but ill be back

Answer 3

@reverdeparadis do you HONESTLY think you could of done all of that yourself?

Answer 4

@skullpatrol Um, excuse me?

Answer 5

@Euler271 thanks so much! i got it :)

Answer 6

glad i could help ^_^

Answer 7

@Euler271 you did more than just help, you did the ENTIRE question.