Jake is walking up hill in the sand. Every step Jake takes he climbs 2 feet up, but slides down 6 inches. How far has Jake traveled if he has taken 8 steps?
X Y
1 -6
2 -5
3 -4
4
5 -2
8(2 - 1/2) = 12
I suspect a typo.
To calculate how far Jake has traveled, we need to keep track of both the distance he gains with each step and the distance he loses from sliding down.
1. One step up: Jake climbs 2 feet.
2. Slide down: Jake loses 6 inches, which is equal to 0.5 feet.
3. Total distance gained with each step: 2 feet - 0.5 feet = 1.5 feet.
Since Jake takes 8 steps, we can calculate the total distance traveled by multiplying the distance gained per step by the number of steps:
Total distance traveled = Distance gained per step * Number of steps
= 1.5 feet/step * 8 steps
= 12 feet.
Therefore, Jake has traveled a total distance of 12 feet.
To determine how far Jake has traveled, we need to calculate the net distance he covers with each step. Let's first convert all the measurements to the same unit.
Jake climbs 2 feet with each step and slides down 6 inches. Since there are 12 inches in a foot, Jake slides down 6/12 = 0.5 feet with each step.
So, with each step, Jake covers a net distance of 2 - 0.5 = 1.5 feet.
If Jake has taken 8 steps, the total distance he would have traveled can be calculated by multiplying the net distance per step by the number of steps:
Total distance = Net distance per step × Number of steps
= 1.5 feet/step × 8 steps
= 12 feet
Therefore, Jake has traveled a distance of 12 feet.