Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:

per mile
Plan 2:

per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.


Collect Like Terms


Solve for x


Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.




<em>Hence, the amount is $65</em>
(X + .3X) / (X - 0.5X) = 1.3X/0.5X
1.3/0.5 = 2.6
2.6 x 100 = 260 %
Answer:
$8.82
Step-by-step explanation:
4.6 (1.15) + 0.5 (1.12) + 2.25 (1.32)
5.29 + 0.56 + 2.97
8.82