Question 272192: Greetings,
I was wondering you could please assist me with how to solve the following problem:
Bob just bought a new pedometer & wants to attempt walking a total of 130,000 steps in a 10-day period. Once he starts using it, he realizes that he is out of shape & will need to acclimate slowly to achieve this goal. He decides to start at 4000 steps on the first day & increase by a fixed number of steps each day, over the next 9 days. What is the number of steps that he must increase by each day, in order to achieve the goal of 130,000 total steps in a 10-day period?
I thank you in advance for your assistance!
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! I was wondering you could please assist me with how to solve the following problem:
Bob just bought a new pedometer & wants to attempt walking a total of 130,000 steps in a 10-day period. Once he starts using it, he realizes that he is out of shape & will need to acclimate slowly to achieve this goal. He decides to start at 4000 steps on the first day & increase by a fixed number of steps each day, over the next 9 days. What is the number of steps that he must increase by each day, in order to achieve the goal of 130,000 total steps in a 10-day period?
He starts with 4000 steps on the first day
He walks for 10 days to complete 130,000 steps
4000 + 4000+x +4000+2x+4000+3x.............. 4000+9x = 130000
4000*10 days + x+2x+3x+4x+5x+6x+7x+8x+9x= 130000
40000 +45x=130,000
45x=130000-40000
45x=90,000
x= 90000 /45
x=2000 steps
He has to increase 2000 steps everyday starting with 4000 steps on day one.
let the number of steps he has to increase daily be x
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