How many weeks will it be before Jake will be jogging 61 minutes per day?

Jake jogs for 11 minutes each day for the first week. Each week after, he increases the time by 5 minutes per week.

Answer 1

He should hit 61 minutes of running by the 11th week

If Jake is increasing his jogging time by 5 minutes each week, starting with the second week, we can write this as a function:

#t=11+5(w-1)#
In the above expression, #t# is the jogging time and #w# is the week number. It's written as #w-1# because on the first week, there is no increase.

We can simplify this expression further before solving our problem by distributing the 5 to both terms in the parentheses:

#t=11+5w-5#
#t=6+5w#

Now, its a matter of plugging in the desired amount of time and figuring out the number of weeks:

#61=6+5w#
#61color(red)(-6)=cancel(6)+5wcolor(red)(cancel(-6))#
#55=5w#
#55/color(red)(5)=(cancel(5)w)/color(red)(cancel(5))#
#color(green)(w=11)#
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Answer 2

To determine how many weeks it will be before Jake is jogging for 61 minutes per day, we need to know his current jogging routine and the rate at which he plans to increase his jogging time. Without this information, it's not possible to provide an accurate answer.

If we assume that Jake is currently jogging for a certain number of minutes per day and plans to increase his jogging time by a certain amount each week, we can calculate the number of weeks it will take for him to reach 61 minutes per day. However, without specific details about Jake's current routine and planned progression, any calculation would be speculative.

To answer this question accurately, we would need to know:

  1. How many minutes per day Jake is currently jogging.
  2. By how many minutes per week he plans to increase his jogging time.

Once we have this information, we can calculate the number of weeks it will take for Jake to reach 61 minutes of jogging per day based on his planned progression.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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