Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? (1 point)

Both Billy and Amanda's method is exponential because the number of minutes increased by an equal number every week.
Billy's method is linear because t

Question

Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? (1 point)

 	
	Both Billy and Amanda's method is exponential because the number of minutes increased by an equal number every week.
	Billy's method is linear because t

itrymath · Answer

Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? (1 point)

 	
	Both Billy and Amanda's method is exponential because the number of minutes increased by an equal number every week.
	Billy's method is linear because the number of minutes increased by an equal factor every week.
	Both Billy and Amanda's method is exponential because the number of minutes increased by an equal factor every week.
	Amanda's method is linear because the number of minutes increased by an equal number every week.

itrymath · Answer

hi @mathmale

mathmale · Answer

Hello!  Can you identify which one of these two "methods" is an arithmetic sequences and which is an exponential one?  Think:  What do you need to look for?

itrymath · Answer

one has a constant rate of change known as arithmetic and one doesn't have a constant rate of change known as exponential.

itrymath · Answer

@mathmale

itrymath · Answer

the answer is A

mathmale · Answer

An additive sequence doesn't have a "rate of change."  Instead, there's a constant difference between terms.  First term plus 4, second term plus 4, third term plus 4, and so on, where 4 is the "constant difference."

An exponential sequence, on the other hand, doesn't have a "constant difference."  Rather, it has a constant ratio.  Each new term is obtained by multi. the previous term by this constant ratio.

For example:  3, 3*2, 3*2*2, 3*2*2*2, and so on.

mathmale · Answer

Could you support your decision ("answer is A")?

tackopp · Answer

I would go with D. Amanda's method is linear because the number of minutes increased by an equal number every week.

tackopp · Answer

Because billy started off with excising " 5 minutes every day in the first week" while Amanda kept it constant and stated out with 10 min and added 10 mins as she goes