Answer: she wants to rent the car for 11 days.
Step-by-step explanation:
Let x represent the number of additional days that Pamela wants to rent the car for.
Customers can pay $40 to rent a compact car for the first day plus $6 for each additional day. This means that the total cost of using this special for x days would be
40 + 6(x - 1) = 40 + 6x - 6
= 34 + 6x
Also, they can rent the same car for $30 the first day and $7 for every additional day beyond that. This means that the total cost of using this special for x days would be
30 + 7(x - 1) = 30 + 7x - 7
= 23 + 7x
Since she found out that the two specials are equivalent for x days, then
34 + 6x = 23 + 7x
7x - 6x = 34 - 23
x = 11
Y = 1/2x + b
Plug in the point :)
-9 = 1/2(-4) + b
-9 = -2 + b
b = -7
Y = 1/2 -7
1/5 = 3/15
1/3 = 5/15
2/3 = 10/15
So no :)
Reason why:
You want to find the common denominator between all three fractions, so all fractions are the same proportions. So in this case, if you multiply 5*3 you get 15, making it the common denominator. Then since you multiplied the 5 in 1/5 by 3 to get 15, and you have to multiply the 3 in 1/3 and 2/3 by 5 to get 15, then you multiply the numerator by the same number.
Sorry I am terrible at explaining things. Hope this helped though!
