John walked 32, 000 steps during a training week. His weekly goal is to walk 300 more steps than he did in the previous week. Let w represent the number of weeks after the training week.
Which expression represents the total number of steps john will walk if he meets his goal
The total number of steps John walks in the first week is 32,000.
The number of steps he walks in the second week is 32,000 + 300 = <<32000+300=32300>>32,300.
The number of steps he walks in the third week is 32,300 + 300 = <<32300+300=32600>>32,600.
The number of steps he walks in the w-th week is 32,000 + 300w.
So the expression that represents the total number of steps John will walk if he meets his goal is 32,000 + 300w. Answer: \boxed{32000 + 300w}.
Solve for x 3/4 x + 14=20
To solve for x in the equation 3/4 x + 14 = 20, we can begin by subtracting 14 from both sides:
3/4 x + 14 - 14 = 20 - 14
This simplifies to:
3/4 x = 6
To isolate x, we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
(4/3)(3/4)x = (4/3)(6)
The 3/4 and 4/3 on the left side of the equation cancel out, leaving us with:
x = 8
Therefore, the solution to the equation 3/4 x + 14 = 20 is x = 8.
If John's weekly goal is to walk 300 more steps than he did in the previous week, then we can represent the total number of steps John will walk in a specific week using the expression 32,000 + 300w, where w represents the number of weeks after the training week.
To determine the total number of steps John will walk, we need to add up the number of steps for the training week and all the additional steps he will walk in the subsequent weeks.
Let's break down the problem step by step:
1. John walked 32,000 steps during the training week.
2. His weekly goal is to walk 300 more steps than he did in the previous week. This means that each subsequent week, the number of steps will increase by 300.
3. We need to find the total number of steps John will walk over multiple weeks. Let's represent the number of weeks after the training week as "w".
4. In the first week (the training week), John walked 32,000 steps.
5. In the second week, John will walk 300 more steps than he did in the previous week. Therefore, the number of steps in the second week will be 32,000 + 300.
6. In the third week, John will walk 300 more steps than he did in the previous week. Therefore, the number of steps in the third week will be (32,000 + 300) + 300.
7. Continuing this pattern, we can see that in the fourth week, John will walk ((32,000 + 300) + 300) + 300, and so on.
8. To represent the total number of steps John will walk after "w" weeks, we can use the following expression:
32,000 + 300w
Therefore, the expression 32,000 + 300w represents the total number of steps John will walk if he meets his goal for "w" weeks.