Dipesh is looking at two different options for a new video rental plan. Plan A has a fee of $7.95 plus an additional fee of $1.25 per rental. With this plan, the first 2 rentals are free. Plan B has a fee of $5.00 plus an additional fee of $3.90 per rental. With this plan, the first 6 rentals are free. After how many rentals would both options cost the same amount?
<span><span>4a+6b=10
4a=10-6b
a=(10-6b)/4
a=(5-3b)/2
</span>
<span>2a-4b=12
2((5-3b)/2)-4b=12
(5-3b)-4b=12
5-7b=12
-7b=7
b=-1
</span>
<span>2a-4b=12
2a-4(-1)=12
2a+4=12
2a=8
a=4
a=4, b=-1 </span>
12a=48</span>
Answer:
75 miles
Step-by-step explanation: