Plans A and D are incorrect because plan C states that it would have a consistent price for 8 weeks, whereas plan D would require 16 weeks to reach $12, which eliminates A and D as options. If the price were to be increased by 10% weekly, it would take 5 weeks to hit $12, as 10% of $8 amounts to 80 cents, leading to a total increase of $4 after 5 weeks, making the price $12. This confirms that B is the right choice.
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.
The options presented are:
(1) division property of equality
(2) factoring the binomial
(3) completing the square
(4) subtraction property of equality
Response: (2) factoring the binomial
Step 1: 
Step 2:![-c = a[x^2+\frac{b}{a} x]](https://tex.z-dn.net/?f=%20%20-c%20%3D%20a%5Bx%5E2%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%5D%20%20%20)
In step 2, 'a' is extracted from 
. Upon factoring out 'a', we divide all terms by 'a', resulting in ![a[x^2+\frac{b}{a} x]](https://tex.z-dn.net/?f=%20%20%20a%5Bx%5E2%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%5D%20%20%20)
.
Step 2 involves the binomial factorization process.
Response:
Her brother catches up to her at 11 am + 4 hours = 15 p.m
Detailed explanation:
Provided information;
Ariel's speed = 45 mph
She departed at 9 a.m
Her brother's speed = 60 mph
He began at 11 a.m
Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.
Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster
Therefore, with this speed, he will catch up to her in 
= 4 hours.
So her brother catches up with her at 11 am + 4 hours = 15 p.m
