Her phrasing suggests that she would sell numerous water bottles and just a single iced tea. The accurate equation should be 1.25x + 1.49y = 100, as she may offer varying quantities of both.
The translation rule can be expressed as T -3,1(x,y). The translation can also be indicated as (x,y)➡️(x-3,y+1).
Answer:
a) The first inequality is 100 + 55x > 150 + 51x;
b) The final inequality results in x > 12.5
c) Sal's mother will need to use the second phone for at least 13 months.
Step-by-step explanation:
a) Let x represent the number of months.
1. The first phone is priced at $100, with a monthly fee of $55 for unlimited use, leading to a total cost of $(100 + 55x) for x months.
2. The second phone costs $150 with a monthly fee of $51 for unlimited use, resulting in a total of $(150 + 51x) for x months.
3. For the second phone to be cheaper, we set up the inequality:
150 + 51x < 100 + 55x
which simplifies to
100 + 55x > 150 + 51x
b) Now solve this:
55x - 51x > 150 - 100
4x > 50
so x > 12.5
c) This means Sal's mother has to retain the second phone for at least 13 months (since x > 12.5).
Answer:
Step-by-step explanation:
Let x represent the speed of the first ferry.
Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.
The time taken by the first ferry is calculated as distance divided by speed = 
The time taken by the second ferry equals 
.
Since the second ferry departs one hour earlier, the times differ by 1 hour.
The speed cannot be negative.
Thus, the speed of the first ferry is determined to be 18.5 mph,
and for the second, slower ferry, it equals 13.5 mph.
