I recently had a function problem that I got wrong, and honestly have no idea how to do. I have done okay up to this point on the functions, but the word problem is really throwing me off. Here is the problem:
The number of calories burned for 1 hour on a treadmill going at a constant speed is a function of the incline of the treadmill. At 4 miles per hour an average person on a 5° incline will burn 525 calories. At 4 mph on a 15° incline the average person will burn 880 calories. Let C be the calories burned and d be the degrees of incline of the treadmill. Determine a linear function, C(d), that fits the data. Be sure to begin your response with C(d)=, but do not include any spaces in your answer.
The answer is:
C(d)=35.5d+347.5
I have tried everything I can think of and cannot get either of those numbers. Any help on the steps taken or how to set up a problem like this would be greatly appreciated.
Thank you in advance for any help,
-Carl
The number of calories burned for 1 hour on a treadmill going at a constant speed is a function of the incline of the treadmill. At 4 miles per hour an average person on a 5° incline will burn 525 calories. At 4 mph on a 15° incline the average person will burn 880 calories. Let C be the calories burned and d be the degrees of incline of the treadmill. Determine a linear function, C(d), that fits the data. Be sure to begin your response with C(d)=, but do not include any spaces in your answer.
The answer is:
C(d)=35.5d+347.5
I have tried everything I can think of and cannot get either of those numbers. Any help on the steps taken or how to set up a problem like this would be greatly appreciated.
Thank you in advance for any help,
-Carl