Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2
