Answer:
The charge for the first three hours is $4 per hour.
Subsequently, the rate decreases to $2 per hour until the sixth hour.
Between the sixth and tenth hours, the cost is reduced further to $1 per hour.
The maximum charge for renting the bike is $30.
Step-by-step explanation:
The incline on the graph indicates the hourly rate for the bike rental.
During the initial three hours, the rental fee rises by $4 for each hour.
From the third to the sixth hour, the graph’s slope indicates a rate of $2 per hour for the rental.
The charge drops to $1 per hour from the sixth to the tenth hour.
After the tenth hour, the price, P, remains constant. The highest fee for the bike rental is $30.
Step-by-step explanation:
The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Answer:
This is how the money should be divided:
Each of my two younger siblings receives P3,000.
I will take P4,000.
The reasoning for this allocation stems from the principle that the eldest and youngest siblings should not receive equal portions when dividing assets.
Step-by-step explanation:
This division approach is the only sensible method to distribute P10,000 among myself and my younger siblings while ensuring no fractions are involved, maintaining whole peso amounts. Any other method would result in leftover change.
Response:
x ≥ 4
Step-by-step breakdown:
Given
- 4(8 - 3x) ≥ 6x - 8 ← distribute the term in parentheses on the left side
- 32 + 12x ≥ 6x - 8 (subtract 6x from both sides)
- 32 + 6x ≥ - 8 (add 32 to both sides)
6x ≥ 24 (divide both sides by 6)
Thus, x ≥ 4