Answer:
2
Step-by-step explanation:
What we need here is to express both charges trough equations, and then find out for which value these equations are equal.
Let X be the amount of additional days of rent.
So, Mikes Movie Rentals cost equations is:
CostMike = 3 + 0.5X
This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...
Now lets find Reed's Rental cost.:
CostReed = 1.5 + 1.25X
And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4
(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)
For finding the additional days that give the same costs we need to equal both equations:
3 + 0.5 X = 1.5 + 1.25 X
Lets subtract 1.5 from both sides:
3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X
1.5 + 0.5 X = 1.25 X
Now subtract 0.5 X in both sides:
1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X
1.5 = 0.75 X
Dividing both sides by 0.75:
1.5 / 0.75 = 0.75 X / 0.75
2 = X
So, for 2 additional days bith charges are equal.
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