Question

Carol can burn 600 calories per hour bicycling and 400 calories per hour swimming. She would like to lose 5 pounds, which is equivalent to 16,000 calories. (a) Write an equation relating the number of hours of cycling, $x$, and the number of hours swimming, $y$, that Carol must spend to lose 5 pounds. (b) Write $y$ as a function of $x$, $y = f(x)$. (c) What does $f(10)$ tell you? (d) Find the inverse function, $x = f^{-1}(y)$. (e) What does $g(10)$ tell you?

Name: carol can burn 600 calories per hour bicycling and 400 calories per hour swimming she would like to lose 5 pounds which is equivalent to 16000 calories a write an equation relating the numbe 20068
Uploaded: 2023-02-03T18:44:49-08:00
Duration: 1 min 12 s
Channel: Sri K
Description: carol can burn 600 calories per hour bicycling and 400 calories per hour swimming she would like to lose 5 pounds which is equivalent to 16000 calories a write an equation relating the numbe 20068

          Carol can burn 600 calories per hour bicycling and 400 calories per hour swimming. She would like to lose 5 pounds, which is equivalent to 16,000 calories.
(a) Write an equation relating the number of hours of cycling, $x$, and the number of hours swimming, $y$, that Carol must spend to lose 5 pounds.
(b) Write $y$ as a function of $x$, $y = f(x)$.
(c) What does $f(10)$ tell you?
(d) Find the inverse function, $x = f^{-1}(y)$.
(e) What does $g(10)$ tell you?

carol can burn 600 calories per hour bicycling and 400 calories per hour swimming she would like to lose 5 pounds which is equivalent to 16000 calories a write an equation relating the numbe 20068

Added by Michelle R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

02/03/2023

Step 1

Carol burns 600 calories per hour cycling and 400 calories per hour swimming. To lose 5 pounds, she needs to burn 16,000 calories. The equation relating $x$ and $y$ is: $600x + 400y = 16000$ Show more…

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Carol can burn 600 calories per hour bicycling and 400 calories per hour swimming. She would like to lose 5 pounds, which is equivalent to 16,000 calories. (a) Write an equation relating the number of hours of cycling, $x$, and the number of hours swimming, $y$, that Carol must spend to lose 5 pounds. (b) Write $y$ as a function of $x$, $y = f(x)$. (c) What does $f(10)$ tell you? (d) Find the inverse function, $x = f^{-1}(y)$. (e) What does $g(10)$ tell you?