Answer:
9
Step-by-step explanation:
Let the width = x.
The length is 15 ft more than the width, so the length is x + 15.
The perimeter is less than or equal to 150 ft.
Perimeter formula:
P = 2L + 2W
The perimeter must be less than or equal to 150 ft.
![2L + 2W \le 150](https://tex.z-dn.net/?f=%202L%20%2B%202W%20%5Cle%20150%20)
Now we solve for x, the width.
![2(x + 15) + 2x \le 150](https://tex.z-dn.net/?f=%202%28x%20%2B%2015%29%20%2B%202x%20%5Cle%20150%20)
![2x + 30 + 2x \le 150](https://tex.z-dn.net/?f=%202x%20%2B%2030%20%2B%202x%20%5Cle%20150%20)
![4x + 30 \le 150](https://tex.z-dn.net/?f=%204x%20%2B%2030%20%5Cle%20150%20)
![4x \le 120](https://tex.z-dn.net/?f=%204x%20%5Cle%20120%20)
![x \le 30](https://tex.z-dn.net/?f=%20x%20%5Cle%2030%20)
x is at most 30 ft.
x is the width.
The length is x + 15, so the length is 30 + 15 = 45.
The length is at most 45 ft.
Let's do both. For the first one, we can add 1 to both sides using the property of equality, and get 4x < -12. Then, we divide by 4, getting us x<-3. For the second, we subtract 3 from both sides to get -2x < 4. Then, we divide by -2 on both sides, but when we divide by a negative we have to switch the sign. So, we get x > -2. Hope this helps.
X-3<-9
x<-6, x∈(-∞;-6)
x+5≥10
x≥5, x∈[5;+∞)
Answer:Rental includes 150 free miles. A $0.10 per mile charge will be applied for each additional mile driven.