Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:
Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.
We can solve the linear equation by isolating the "x" variable on the left side.
Marco's travel must be shorter or equal to 92 miles.
The first step in this equation is to Subtract 18 from both sides of the equation.
X=f
x×1+1-2+3=3234557901028292
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
- 5 + -3 = -8
hope this helps
when a negative number adds a negative number, it will be negative
when a negative number adds a positive number, whichever number (either positive or negative) take the sign of the bigger one
For example:
-4 + 3 = -1
-5 + 10 = 5
hope this helps
